408095604080956 has 96 divisors (see below), whose sum is σ = 832169373319872. Its totient is φ = 173055972311040.

The previous prime is 408095604080897. The next prime is 408095604080977. The reversal of 408095604080956 is 659080406590804.

It is a congruent number.

It is an unprimeable number.

It is a Kaprekar number, because its square (166542022070200391441401873936) can be partitioned into two parts whose sum is 408095604080956.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66435076 + ... + 72317428.

It is an arithmetic number, because the mean of its divisors is an integer number (8668430972082).

Almost surely, 2^{408095604080956} is an apocalyptic number.

It is an amenable number.

408095604080956 is an abundant number, since it is smaller than the sum of its proper divisors (424073769238916).

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

408095604080956 is a wasteful number, since it uses less digits than its factorization.

408095604080956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883199 (or 5883197 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 64.

The spelling of 408095604080956 in words is "four hundred eight trillion, ninety-five billion, six hundred four million, eighty thousand, nine hundred fifty-six".