399613001256 has 512 divisors, whose sum is σ = 1426083840000. Its totient is φ = 101060628480.

The previous prime is 399613001243. The next prime is 399613001299. The reversal of 399613001256 is 652100316993.

399613001256 is a `hidden beast` number, since 3 + 9 + 9 + 613 + 0 + 0 + 1 + 25 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25818736 + ... + 25834208.

It is an arithmetic number, because the mean of its divisors is an integer number (2785320000).

Almost surely, 2^399613001256 is an apocalyptic number.

399613001256 is a gapful number since it is divisible by the number (36) 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 399613001256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713041920000).

399613001256 is an abundant number, since it is smaller than the sum of its proper divisors (1026470838744).

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

399613001256 is a wasteful number, since it uses less digits than its factorization.

399613001256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15574 (or 15564 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 399613001256 in words is "three hundred ninety-nine billion, six hundred thirteen million, one thousand, two hundred fifty-six".