400538334924 has 288 divisors, whose sum is σ = 1315735016960. Its totient is φ = 99769190400.

The previous prime is 400538334923. The next prime is 400538334947. The reversal of 400538334924 is 429433835004.

400538334924 is a `hidden beast` number, since 40 + 0 + 538 + 33 + 49 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 400538334924.

It is not an unprimeable number, because it can be changed into a prime (400538334923) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20593044 + ... + 20612484.

Almost surely, 2^400538334924 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 400538334924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657867508480).

400538334924 is an abundant number, since it is smaller than the sum of its proper divisors (915196682036).

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

400538334924 is a wasteful number, since it uses less digits than its factorization.

400538334924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19821 (or 19816 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 400538334924 in words is "four hundred billion, five hundred thirty-eight million, three hundred thirty-four thousand, nine hundred twenty-four".