399960115200 has 1728 divisors, whose sum is σ = 1650179381760. Its totient is φ = 95551488000.

The previous prime is 399960115187. The next prime is 399960115211. The reversal of 399960115200 is 2511069993.

It is a happy number.

399960115200 is a `hidden beast` number, since 3 + 9 + 9 + 9 + 601 + 15 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-4 number, since 4×399960115200⁴ (a number of 48 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6556723170 + ... + 6556723230.

It is an arithmetic number, because the mean of its divisors is an integer number (954964920).

Almost surely, 2^399960115200 is an apocalyptic number.

399960115200 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 399960115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825089690880).

399960115200 is an abundant number, since it is smaller than the sum of its proper divisors (1250219266560).

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

399960115200 is a wasteful number, since it uses less digits than its factorization.

399960115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The spelling of 399960115200 in words is "three hundred ninety-nine billion, nine hundred sixty million, one hundred fifteen thousand, two hundred".