400518112320 has 224 divisors, whose sum is σ = 1496053497600. Its totient is φ = 100522156032.

The previous prime is 400518112277. The next prime is 400518112349. The reversal of 400518112320 is 23211815004.

400518112320 is a `hidden beast` number, since 4 + 0 + 0 + 518 + 1 + 123 + 20 = 666.

It is a super-2 number, since 2×400518112320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1216540 + ... + 1510299.

Almost surely, 2^400518112320 is an apocalyptic number.

400518112320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400518112320 is an abundant number, since it is smaller than the sum of its proper divisors (1095535385280).

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

400518112320 is a wasteful number, since it uses less digits than its factorization.

400518112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726882 (or 2726866 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 400518112320 its reverse (23211815004), we get a palindrome (423729927324).

The spelling of 400518112320 in words is "four hundred billion, five hundred eighteen million, one hundred twelve thousand, three hundred twenty".