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40674730440 = 233513910392347
BaseRepresentation
bin100101111000011001…
…110010000111001000
310212222200200101122210
4211320121302013020
51131300212333230
630404040345120
72636646334641
oct457031620710
9125880611583
1040674730440
1116282909003
127a71a751a0
133ab2ab4b46
141d7c0486c8
1510d0d66eb0
hex9786721c8

40674730440 has 128 divisors (see below), whose sum is σ = 123072768000. Its totient is φ = 10753613568.

The previous prime is 40674730433. The next prime is 40674730457. The reversal of 40674730440 is 4403747604.

It is a super-3 number, since 3×406747304403 (a number of 33 digits) contains 333 as substring.

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, 17329347 + ... + 17331693.

It is an arithmetic number, because the mean of its divisors is an integer number (961506000).

Almost surely, 240674730440 is an apocalyptic number.

40674730440 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 40674730440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61536384000).

40674730440 is an abundant number, since it is smaller than the sum of its proper divisors (82398037560).

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

40674730440 is a wasteful number, since it uses less digits than its factorization.

40674730440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3539 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 39.

The spelling of 40674730440 in words is "forty billion, six hundred seventy-four million, seven hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1039 1112 1390 1668 2078 2085 2347 2780 3117 3336 4156 4170 4694 5195 5560 6234 7041 8312 8340 9388 10390 11735 12468 14082 15585 16680 18776 20780 23470 24936 28164 31170 35205 41560 46940 56328 62340 70410 93880 124680 140820 144421 281640 288842 326233 433263 577684 652466 722105 866526 978699 1155368 1304932 1444210 1631165 1733052 1957398 2166315 2438533 2609864 2888420 3262330 3466104 3914796 4332630 4877066 4893495 5776840 6524660 7315599 7829592 8665260 9754132 9786990 12192665 13049320 14631198 17330520 19508264 19573980 24385330 29262396 36577995 39147960 48770660 58524792 73155990 97541320 146311980 292623960 338956087 677912174 1016868261 1355824348 1694780435 2033736522 2711648696 3389560870 4067473044 5084341305 6779121740 8134946088 10168682610 13558243480 20337365220 40674730440