399259575936 has 576 divisors, whose sum is σ = 1360101670200. Its totient is φ = 111600599040.

The previous prime is 399259575887. The next prime is 399259575973. The reversal of 399259575936 is 639575952993.

399259575936 is a `hidden beast` number, since 3 + 9 + 9 + 25 + 9 + 5 + 7 + 593 + 6 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 24568681536 + 374690894400 = 156744^2 + 612120^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 125512266 + ... + 125515446.

Almost surely, 2^399259575936 is an apocalyptic number.

399259575936 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 399259575936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680050835100).

399259575936 is an abundant number, since it is smaller than the sum of its proper divisors (960842094264).

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

399259575936 is a wasteful number, since it uses less digits than its factorization.

399259575936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3277 (or 3245 counting only the distinct ones).

The product of its digits is 620014500, while the sum is 72.

The spelling of 399259575936 in words is "three hundred ninety-nine billion, two hundred fifty-nine million, five hundred seventy-five thousand, nine hundred thirty-six".