400591087056 has 560 divisors, whose sum is σ = 1267104931840. Its totient is φ = 122217258240.

The previous prime is 400591087033. The next prime is 400591087063. The reversal of 400591087056 is 650780195004.

400591087056 is a `hidden beast` number, since 4 + 0 + 0 + 591 + 0 + 8 + 7 + 0 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 1210244811 + ... + 1210245141.

Almost surely, 2^400591087056 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 400591087056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633552465920).

400591087056 is an abundant number, since it is smaller than the sum of its proper divisors (866513844784).

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

400591087056 is a wasteful number, since it uses less digits than its factorization.

400591087056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 400591087056 in words is "four hundred billion, five hundred ninety-one million, eighty-seven thousand, fifty-six".