40928526864 has 135 divisors (see below), whose sum is σ = 119903267757. Its totient is φ = 13031872128.

The previous prime is 40928526857. The next prime is 40928526869. The reversal of 40928526864 is 46862582904.

The square root of 40928526864 is 202308.

It is a perfect power (a square), and thus also a powerful number.

40928526864 is a `hidden beast` number, since 40 + 9 + 285 + 268 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40040010000 + 888516864 = 200100^2 + 29808^2 .

It is a super-2 number, since 2×40928526864² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40928526864.

It is not an unprimeable number, because it can be changed into a prime (40928526869) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55836642 + ... + 55837374.

Almost surely, 2^40928526864 is an apocalyptic number.

40928526864 is the 202308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40928526864

40928526864 is an abundant number, since it is smaller than the sum of its proper divisors (78974740893).

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

40928526864 is an equidigital number, since it uses as much as digits as its factorization.

40928526864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 40928526864 in words is "forty billion, nine hundred twenty-eight million, five hundred twenty-six thousand, eight hundred sixty-four".