399359545603200 has 6144 divisors, whose sum is σ = 1980033269760000. Its totient is φ = 76246504243200.

The previous prime is 399359545603177. The next prime is 399359545603241. The reversal of 399359545603200 is 2306545953993.

399359545603200 is a `hidden beast` number, since 3 + 9 + 9 + 3 + 5 + 9 + 545 + 60 + 3 + 20 + 0 = 666.

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

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, 384369148281 + ... + 384369149319.

It is an arithmetic number, because the mean of its divisors is an integer number (322271040000).

Almost surely, 2^{399359545603200} is an apocalyptic number.

399359545603200 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 399359545603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990016634880000).

399359545603200 is an abundant number, since it is smaller than the sum of its proper divisors (1580673724156800).

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

399359545603200 is a wasteful number, since it uses less digits than its factorization.

399359545603200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 118098000, while the sum is 63.

The spelling of 399359545603200 in words is "three hundred ninety-nine trillion, three hundred fifty-nine billion, five hundred forty-five million, six hundred three thousand, two hundred".