396427624508160 has 1728 divisors, whose sum is σ = 1663251764428800. Its totient is φ = 87045308743680.

The previous prime is 396427624508143. The next prime is 396427624508183. The reversal of 396427624508160 is 61805426724693.

396427624508160 is a `hidden beast` number, since 3 + 9 + 6 + 4 + 2 + 7 + 62 + 4 + 508 + 1 + 60 = 666.

It is a super-2 number, since 2×396427624508160² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16781414109 + ... + 16781437731.

It is a 2-persistent number, because it is pandigital, and so is 2⋅396427624508160 = 792855249016320, but 3⋅396427624508160 = 1189282873524480 is not.

Almost surely, 2^{396427624508160} is an apocalyptic number.

396427624508160 is a gapful number since it is divisible by the number (30) 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 396427624508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831625882214400).

396427624508160 is an abundant number, since it is smaller than the sum of its proper divisors (1266824139920640).

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

396427624508160 is a wasteful number, since it uses less digits than its factorization.

396427624508160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23839 (or 23808 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 396427624508160 in words is "three hundred ninety-six trillion, four hundred twenty-seven billion, six hundred twenty-four million, five hundred eight thousand, one hundred sixty".