399080974118400 has 4800 divisors, whose sum is σ = 1806125936541696. Its totient is φ = 85070684160000.

The previous prime is 399080974118363. The next prime is 399080974118479. The reversal of 399080974118400 is 4811479080993.

399080974118400 is a `hidden beast` number, since 3 + 9 + 90 + 8 + 0 + 97 + 41 + 18 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1789600780689 + ... + 1789600780911.

Almost surely, 2^{399080974118400} is an apocalyptic number.

399080974118400 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 399080974118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903062968270848).

399080974118400 is an abundant number, since it is smaller than the sum of its proper divisors (1407044962423296).

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

399080974118400 is a wasteful number, since it uses less digits than its factorization.

399080974118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 399080974118400 in words is "three hundred ninety-nine trillion, eighty billion, nine hundred seventy-four million, one hundred eighteen thousand, four hundred".