399082913349120 has 7680 divisors, whose sum is σ = 2053920540672000. Its totient is φ = 71514555678720.

The previous prime is 399082913349097. The next prime is 399082913349151. The reversal of 399082913349120 is 21943319280993.

399082913349120 is a `hidden beast` number, since 3 + 9 + 9 + 0 + 8 + 2 + 9 + 133 + 491 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

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 767 ways as a sum of consecutive naturals, for example, 1052989217091 + ... + 1052989217469.

It is an arithmetic number, because the mean of its divisors is an integer number (267437570400).

Almost surely, 2^{399082913349120} is an apocalyptic number.

399082913349120 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 399082913349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026960270336000).

399082913349120 is an abundant number, since it is smaller than the sum of its proper divisors (1654837627322880).

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

399082913349120 is a wasteful number, since it uses less digits than its factorization.

399082913349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 399082913349120 in words is "three hundred ninety-nine trillion, eighty-two billion, nine hundred thirteen million, three hundred forty-nine thousand, one hundred twenty".