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The Significance of the number 40
Why did the mabul last over the span of 40 days and 40 nights? What is the significance of the number 40? hi
(יב) וַֽיְהִ֥י הַגֶּ֖שֶׁם עַל־הָאָ֑רֶץ אַרְבָּעִ֣ים י֔וֹם וְאַרְבָּעִ֖ים לָֽיְלָה׃
(12) The rain fell on the earth forty days and forty nights.)
Mikveh: A ritual immersion pool. In Jewish law, some changes of status, such as conversion, repentance, and ritual purification require ritual immersioninapoolof 40 seah, approximately 200 gallons, ofpurewater.
אף משה רבינו לא רמזה להן לישראל אלא לאחר ארבעים שנה שנאמר (דברים כט, ד) ואולך אתכם במדבר ארבעים שנה וכתיב (דברים כט, ג) ולא נתן ה' לכם לב וגו' אמר רבה ש"מ לא קאי איניש אדעתיה דרביה עד ארבעין שנין
Yet even Moses our teacher, who said this to the Jewish people, did not allude to the Jewish people until after forty years that they should have stated this request, as it is stated: “And I have led you forty years in the wilderness” (Deuteronomy 29:4), which shows that Moses was speaking forty years after the revelation at Sinai. And at that point it is written: “But the Lord has not given you a heart to know, and eyes to see, and ears to hear, until this day” (Deuteronomy 29:3). Rabba said: Conclude from here that a person does not understand the opinion of his teacher until after forty years, as Moses said this to the Jewish people only after forty years of learning Torah.
The sages say one shouldn't learn kabblah until the age of 40. only when they hit 40 years of age does their minds and souls develop in a higher understanding of Binah, where they can start to understand and grasp the lofty and esoteric concepts of Kaballa.

הוּא הָיָה אוֹמֵר, בֶּן חָמֵשׁ שָׁנִים לַמִּקְרָא, בֶּן עֶשֶׂר לַמִּשְׁנָה, בֶּן שְׁלשׁ עֶשְׂרֵה לַמִּצְוֹת, בֶּן חֲמֵשׁ עֶשְׂרֵה לַתַּלְמוּד, בֶּן שְׁמֹנֶה עֶשְׂרֵה לַחֻפָּה, בֶּן עֶשְׂרִים לִרְדֹּף, בֶּן שְׁלשִׁים לַכֹּחַ, בֶּן אַרְבָּעִים לַבִּינָה, בֶּן חֲמִשִּׁים לָעֵצָה, בֶּן שִׁשִּׁים לַזִּקְנָה, בֶּן שִׁבְעִים לַשֵּׂיבָה, בֶּן שְׁמֹנִים לַגְּבוּרָה, בֶּן תִּשְׁעִים לָשׁוּחַ, בֶּן מֵאָה כְּאִלּוּ מֵת וְעָבַר וּבָטֵל מִן הָעוֹלָם:

He used to say: At five years of age the study of Scripture; At ten the study of Mishnah; At thirteen subject to the commandments; At fifteen the study of Talmud; At eighteen the bridal canopy; At twenty for pursuit [of livelihood]; At thirty the peak of strength; At forty wisdom; At fifty able to give counsel; At sixty old age; At seventy fullness of years; At eighty the age of “strength”; At ninety a bent body; At one hundred, as good as dead and gone completely out of the world.

There are 40 days from Rosh Chodesh Elul until Yom Kippur. These 40 days is a special time period for personal growth and renewal.
Moshe Rabbenu spent 40 days in heaven in order to prepare himself to receive the tablets and The Torah and to give them over to Bnei Yisroel.
כי בשש משה. כְּתַרְגּוּמוֹ, לְשׁוֹן אִחוּר, וְכֵן בֹּשֵׁשׁ רִכְבּוֹ (שופטים ה'), וַיָּחִילוּ עַד בּוֹשׁ (שם ג'); כִּי כְּשֶׁעָלָה מֹשֶׁה לָהָר אָמַר לָהֶם לְסוֹף אַרְבָּעִים יוֹם אֲנִי בָא בְּתוֹךְ שֵׁשׁ שָׁעוֹת, כִּסְבוּרִים הֵם שֶׁאוֹתוֹ יוֹם שֶׁעָלָה מִן הַמִּנְיָן הוּא, וְהוּא אָמַר לָהֶם שְׁלֵמִים – אַרְבָּעִים יוֹם וְלֵילוֹ עִמּוֹ – וְיוֹם עֲלִיָּתוֹ אֵין לֵילוֹ עִמּוֹ, שֶׁהֲרֵי בְז' בְּסִיוָן עָלָה, נִמְצָא יוֹם אַרְבָּעִים בְּשִׁבְעָה עָשָׂר בְּתַמּוּז. בְּי"ו בָּא שָׂטָן וְעִרְבֵּב אֶת הָעוֹלָם, וְהֶרְאָה דְּמוּת חֹשֶׁךְ וַאֲפֵלָה וְעִרְבּוּבְיָה, לוֹמַר וַדַּאי מֵת מֹשֶׁה לְכָךְ בָּא עִרְבּוּבְיָא לָעוֹלָם, אָמַר לָהֶם מֵת מֹשֶׁה, שֶׁכְּבָר בָּאוּ שֵׁשׁ שָׁעוֹת וְלֹא בָּא וְכוּ' כִּדְאִיתָא בְמַסֶּכֶת שַׁבָּת (דף פ"ט); וְאִי אֶפְשָׁר לוֹמַר שֶׁלֹא טָעוּ אֶלָּא בְּיוֹם הַמְעֻנָּן בֵּין קֹדֶם חֲצוֹת בֵּין לְאַחַר חֲצוֹת, שֶׁהֲרֵי לֹא יָרַד מֹשֶׁה עַד יוֹם הַמָּחֳרָת, שֶׁנֶּאֱמַר וַיַּשְׁכִּימוּ מִמָּחֳרָת וַיַּעֲלוּ עֹלֹת:

כי בשש משה [AND WHEN THE PEOPLE SAW] THAT MOSES DELAYED LONG — Understand (בשש as the Targum does, as an expression denoting “lateness”.. Similar are: (Judges 5:28) “[Why is] his chariot so long (בשש) [in coming]?”; (Judges 3:25) “And they waited until it was late (עד בוש)”. For when Moses ascended the mountain he said to them (to the Israelites): at the end of a period of forty days (i. e. on the fortieth day) I shall return during the first six hours of the day (before noon). They thought that the day on which he ascended the mountain (the seventh of Sivan) was to be included in this number (thus — Sivan having 30 days — he was expected back before noon on the sixteenth of Tammuz). In fact, however, he had said to them “after forty days” meaning complete days — forty days, each day together with its night that precedes it — (as is the customary Jewish reckoning; cf. Genesis 1:5: ויהי ערב ויהי בקר). Now, as regards the day of this ascent, its night was not part of it that it can be reckoned as a complete day, for he ascended on the seventh of Sivan early in the morning (cf. Rashi on Exodus 19:3); it follows therefore that the fortieth day really fell on the seventeenth of Tammuz and not as the people had believed on the sixteenth. On the sixteenth of Tammuz Satan came and threw the world into confusion, giving it the appearance of darkness, gloom and disorder that people should say: “Surely Moses is dead, and that is why confusion has come into the world!” He said to them, “Yes, Moses is dead, for six hours (noon) has already come (בשש = ‎בא שש) and he has not returned etc.” — as is related in Treatise Shabbat 89a (cf. Rashi and Tosafot there and Tosafot on Bava Kamma 82a ד"ה כדי). One cannot, however, say that they erred only on account of it being a cloudy day, their mistake consisting in not being able to distinguish between forenoon and afternoon, and that thus they were correct in their supposition that he was to return on the sixteenth of Tammuz; for this assumes that he really returned on the day when they made the calf, but that they were under the impression that noon was past — for, as a matter of fact, Moses did not come down until the following day (the day after they had made the calf), for it is said (v. 6) “And they rose up early in the morrow, and brought up burnt offerings”— and only after wards the Lord said to Moses (v. 7) “Go, go down; for thy people … have corrupted themselves”.

We clearly see that 40 is a special and holy number in the Torah. it represents personal growth and purity. it's not that simple the purity doesn't just come easily it comes with a sense of hardship and seeminginly sorrows. we see alot in The Torah and in our personal lifes, that the good and the purity come only after the darkess of times.
In this weeks parsha the mabul was bought in a intense and harsh way. It caused a lot of destruction in order to purify the world. HaShem only bought the mabul to help the world and bring light to the world. we cannot understand HaShem ways and why He does what He does but it helps us understand the little we can in order to help us navigate our lives.
Sarah Emuanu shabbat candles stayed lit for 7 days after she lit them Erev Shabbat. when the following shabbat came the candle had to be extinguished in order for her to light anew. There had to be complete darkness before the brand new light of shabbat could come in.
האהלה שרה אמו. וַיְבִיאֶהָ הָאֹהֱלָה וְנַעֲשֵׂית דֻּגְמַת שָׂרָה אִמּוֹ, כְּלוֹמַר וַהֲרֵי הִיא שָׂרָה אִמּוֹ, שֶׁכָּל זְמַן שֶׁשָּׂרָה קַיֶּמֶת הָיָה נֵר דָּלוּק מֵעֶרֶב שַׁבָּת לְעֶרֶב שַׁבָּת וּבְרָכָה מְצוּיָה בָּעִסָּה וְעָנָן קָשׁוּר עַל הָאֹהֶל, וּמִשֶּׁמֵּתָה פָּסְקוּ, וּכְשֶׁבָּאת רִבְקָה חָזְרוּ (בראשית רבה):

האהלה שרה אמו INTO HIS MOTHER SARAH’S TENT — He brought her into the tent and she became exactly like his mother Sarah — that is to say, the words signify as much as, [And he brought her into the tent] and, behold, she was Sarah, his mother). For whilst Sarah was living, a light had been burning in the tent from one Sabbath eve to the next, there was always a blessing in the dough (a miraculous increase) and a cloud was always hanging over the tent (as a divine protection), but since her death all these had stopped. However, when Rebecca came, they reappeared” (Genesis Rabbah 60:16).

The Shabbat that falls on chanukah is the earliest zman shekyia, with the longest darkness. After that the nights become shorter and the days longer. Only after the utmost darkness can we begin to have light. There's no coincidence that on shabbat we light 2 lights, the shabbat lights and the menorah.
והיינו דא"ל ההוא מינא לרבי אבהו אימתי אתי משיח א"ל לכי חפי להו חשוכא להנהו אינשי א"ל מילט קא לייטת לי א"ל קרא כתיב (ישעיהו ס, ב) כי הנה החשך יכסה ארץ וערפל לאומים ועליך יזרח ה' וכבודו עליך יראה
And that is the background for the following exchange, as a certain heretic said to Rabbi Abbahu: When will the Messiah come? Rabbi Abbahu said to him: He will come when the darkness will enshroud these people, i.e., you. The heretic said to him: Are you cursing me for no reason? Rabbi Abbahu said to him, I am merely relating to you a verse that is written: “For behold, the darkness shall cover the earth, and fog the peoples; but the Lord shall shine upon you, and His glory shall be seen upon you” (Isaiah 60:2).