399113616208032 has 1152 divisors, whose sum is σ = 1317313796198400. Its totient is φ = 113557319884800.

The previous prime is 399113616208009. The next prime is 399113616208051. The reversal of 399113616208032 is 230802616311993.

399113616208032 is a `hidden beast` number, since 3 + 9 + 9 + 1 + 1 + 3 + 6 + 1 + 620 + 8 + 0 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 399113616208032.

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, 64155858682 + ... + 64155864902.

It is an arithmetic number, because the mean of its divisors is an integer number (1143501559200).

Almost surely, 2^{399113616208032} is an apocalyptic number.

399113616208032 is a gapful number since it is divisible by the number (32) 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 399113616208032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658656898099200).

399113616208032 is an abundant number, since it is smaller than the sum of its proper divisors (918200179990368).

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

399113616208032 is a wasteful number, since it uses less digits than its factorization.

399113616208032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6530 (or 6519 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 399113616208032 in words is "three hundred ninety-nine trillion, one hundred thirteen billion, six hundred sixteen million, two hundred eight thousand, thirty-two".