399639891915264 has 5760 divisors, whose sum is σ = 1681667594956800. Its totient is φ = 82778165084160.

The previous prime is 399639891915181. The next prime is 399639891915343. The reversal of 399639891915264 is 462519198936993.

It is a Harshad number since it is a multiple of its sum of digits (84).

Its product of digits (6122200320) is a multiple of the sum of its prime factors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1672133438857 + ... + 1672133439095.

It is an arithmetic number, because the mean of its divisors is an integer number (291956179680).

Almost surely, 2^{399639891915264} is an apocalyptic number.

399639891915264 is a gapful number since it is divisible by the number (34) 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 399639891915264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840833797478400).

399639891915264 is an abundant number, since it is smaller than the sum of its proper divisors (1282027703041536).

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

399639891915264 is a wasteful number, since it uses less digits than its factorization.

399639891915264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 348 counting only the distinct ones).

The product of its digits is 6122200320, while the sum is 84.

The spelling of 399639891915264 in words is "three hundred ninety-nine trillion, six hundred thirty-nine billion, eight hundred ninety-one million, nine hundred fifteen thousand, two hundred sixty-four".