399245427705600 has 756 divisors, whose sum is σ = 1693273794836176. Its totient is φ = 91256090296320.

The previous prime is 399245427705577. The next prime is 399245427705613. The reversal of 399245427705600 is 6507724542993.

399245427705600 is a `hidden beast` number, since 3 + 9 + 9 + 2 + 45 + 4 + 27 + 7 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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 83 ways as a sum of consecutive naturals, for example, 26546904 + ... + 38771496.

Almost surely, 2^{399245427705600} is an apocalyptic number.

399245427705600 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 399245427705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846636897418088).

399245427705600 is an abundant number, since it is smaller than the sum of its proper divisors (1294028367130576).

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

399245427705600 is an equidigital number, since it uses as much as digits as its factorization.

399245427705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12224644 (or 12224610 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 399245427705600 in words is "three hundred ninety-nine trillion, two hundred forty-five billion, four hundred twenty-seven million, seven hundred five thousand, six hundred".