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40407606928 = 2413229863983
BaseRepresentation
bin100101101000011110…
…110010011010010000
310212022002001010002101
4211220132302122100
51130223321410203
630321335130144
72630223664123
oct455036623220
9125262033071
1040407606928
111615604a177
1279b8513954
133a6c6583b0
141d547923ba
1510b769e41d
hex9687b2690

40407606928 has 80 divisors (see below), whose sum is σ = 84864568320. Its totient is φ = 18527841792.

The previous prime is 40407606923. The next prime is 40407606961. The reversal of 40407606928 is 82960670404.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40407606923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41105925 + ... + 41106907.

It is an arithmetic number, because the mean of its divisors is an integer number (1060807104).

Almost surely, 240407606928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40407606928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42432284160).

40407606928 is an abundant number, since it is smaller than the sum of its proper divisors (44456961392).

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

40407606928 is a wasteful number, since it uses less digits than its factorization.

40407606928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 40407606928 in words is "forty billion, four hundred seven million, six hundred six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 229 458 863 916 983 1726 1832 1966 2977 3452 3664 3932 5954 6904 7864 11219 11908 12779 13808 15728 22438 23816 25558 44876 47632 51116 89752 102232 179504 197627 204464 225107 395254 450214 790508 848329 900428 1581016 1696658 1800856 2569151 2926391 3162032 3393316 3601712 5138302 5852782 6786632 10276604 11028277 11705564 13573264 20553208 22056554 23411128 41106416 44113108 46822256 88226216 176452432 194267341 388534682 777069364 1554138728 2525475433 3108277456 5050950866 10101901732 20203803464 40407606928