400959569920 has 256 divisors, whose sum is σ = 1184398850880. Its totient is φ = 126892376064.

The previous prime is 400959569911. The next prime is 400959569947. The reversal of 400959569920 is 29965959004.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14895994 + ... + 14922886.

Almost surely, 2^400959569920 is an apocalyptic number.

400959569920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400959569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592199425440).

400959569920 is an abundant number, since it is smaller than the sum of its proper divisors (783439280960).

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

400959569920 is an equidigital number, since it uses as much as digits as its factorization.

400959569920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26948 (or 26920 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 58.

The spelling of 400959569920 in words is "four hundred billion, nine hundred fifty-nine million, five hundred sixty-nine thousand, nine hundred twenty".