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40000001042440 = 23519891423415577
BaseRepresentation
bin10010001100001001110011…
…10110100110100000001000
312020121221222211212222021101
421012010321312212200020
520220330000231324230
6221023425150351144
711265622212644635
oct1106047166464010
9166557884788241
1040000001042440
11118219a587729a
1245a03274bb4b4
131941ca38710aa
149c40206ab18c
15495759d75aca
hex246139da6808

40000001042440 has 128 divisors (see below), whose sum is σ = 95868857664000. Its totient is φ = 14977013280768.

The previous prime is 40000001042437. The next prime is 40000001042467. The reversal of 40000001042440 is 4424010000004.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96043932 + ... + 96459508.

It is an arithmetic number, because the mean of its divisors is an integer number (748975450500).

Almost surely, 240000001042440 is an apocalyptic number.

40000001042440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40000001042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47934428832000).

40000001042440 is an abundant number, since it is smaller than the sum of its proper divisors (55868856621560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40000001042440 is a wasteful number, since it uses less digits than its factorization.

40000001042440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417119 (or 417115 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 40000001042440 its reverse (4424010000004), we get a palindrome (44424011042444).

The spelling of 40000001042440 in words is "forty trillion, one million, forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 89 95 152 178 190 356 380 445 712 760 890 1423 1691 1780 2846 3382 3560 5692 6764 7115 8455 11384 13528 14230 16910 27037 28460 33820 54074 56920 67640 108148 126647 135185 216296 253294 270370 415577 506588 540740 633235 831154 1013176 1081480 1266470 1662308 2077885 2406293 2532940 3324616 4155770 4812586 5065880 7895963 8311540 9625172 12031465 15791926 16623080 19250344 24062930 31583852 36986353 39479815 48125860 63167704 73972706 78959630 96251720 147945412 157919260 184931765 295890824 315838520 369863530 591366071 702740707 739727060 1182732142 1405481414 1479454120 2365464284 2810962828 2956830355 3513703535 4730928568 5621925656 5913660710 7027407070 11235955349 11827321420 14054814140 22471910698 23654642840 28109628280 44943821396 52631580319 56179776745 89887642792 105263160638 112359553490 210526321276 224719106980 263157901595 421052642552 449438213960 526315803190 1000000026061 1052631606380 2000000052122 2105263212760 4000000104244 5000000130305 8000000208488 10000000260610 20000000521220 40000001042440