400515435320 has 384 divisors, whose sum is σ = 1261193673600. Its totient is φ = 111256104960.

The previous prime is 400515435311. The next prime is 400515435391. The reversal of 400515435320 is 23534515004.

It is a happy number.

It is a super-2 number, since 2×400515435320² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12757082 + ... + 12788438.

It is an arithmetic number, because the mean of its divisors is an integer number (3284358525).

Almost surely, 2^400515435320 is an apocalyptic number.

400515435320 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 400515435320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630596836800).

400515435320 is an abundant number, since it is smaller than the sum of its proper divisors (860678238280).

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

400515435320 is a wasteful number, since it uses less digits than its factorization.

400515435320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31439 (or 31424 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 400515435320 in words is "four hundred billion, five hundred fifteen million, four hundred thirty-five thousand, three hundred twenty".