408696628032 has 168 divisors, whose sum is σ = 1460515597632. Its totient is φ = 106154956800.

The previous prime is 408696628013. The next prime is 408696628033. The reversal of 408696628032 is 230826696804.

408696628032 is a `hidden beast` number, since 4 + 0 + 8 + 6 + 9 + 6 + 628 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×408696628032³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 408696628032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408696628033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4563069 + ... + 4651772.

It is an arithmetic number, because the mean of its divisors is an integer number (8693545224).

Almost surely, 2^408696628032 is an apocalyptic number.

408696628032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

408696628032 is an abundant number, since it is smaller than the sum of its proper divisors (1051818969600).

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

408696628032 is a wasteful number, since it uses less digits than its factorization.

408696628032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9214877 (or 9214864 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 408696628032 in words is "four hundred eight billion, six hundred ninety-six million, six hundred twenty-eight thousand, thirty-two".