399193557120 has 576 divisors, whose sum is σ = 1477673608320. Its totient is φ = 102979123200.

The previous prime is 399193557019. The next prime is 399193557137. The reversal of 399193557120 is 21755391993.

399193557120 is a `hidden beast` number, since 3 + 9 + 9 + 19 + 35 + 571 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×399193557120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149453385 + ... + 149456055.

It is an arithmetic number, because the mean of its divisors is an integer number (2565405570).

Almost surely, 2^399193557120 is an apocalyptic number.

399193557120 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 399193557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738836804160).

399193557120 is an abundant number, since it is smaller than the sum of its proper divisors (1078480051200).

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

399193557120 is an equidigital number, since it uses as much as digits as its factorization.

399193557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 2296350, while the sum is 54.

The spelling of 399193557120 in words is "three hundred ninety-nine billion, one hundred ninety-three million, five hundred fifty-seven thousand, one hundred twenty".