400077431936 has 256 divisors, whose sum is σ = 1042673049600. Its totient is φ = 148478054400.

The previous prime is 400077431933. The next prime is 400077431947. The reversal of 400077431936 is 639134770004.

It is not an unprimeable number, because it can be changed into a prime (400077431933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22786361 + ... + 22803911.

It is an arithmetic number, because the mean of its divisors is an integer number (4072941600).

Almost surely, 2^400077431936 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 400077431936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521336524800).

400077431936 is an abundant number, since it is smaller than the sum of its proper divisors (642595617664).

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

400077431936 is a wasteful number, since it uses less digits than its factorization.

400077431936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17707 (or 17695 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 44.

The spelling of 400077431936 in words is "four hundred billion, seventy-seven million, four hundred thirty-one thousand, nine hundred thirty-six".