399400372800 has 1680 divisors, whose sum is σ = 1801665436032. Its totient is φ = 85399142400.

The previous prime is 399400372793. The next prime is 399400372829. The reversal of 399400372800 is 8273004993.

It is a happy number.

399400372800 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 426253932 + ... + 426254868.

Almost surely, 2^399400372800 is an apocalyptic number.

399400372800 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 399400372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900832718016).

399400372800 is an abundant number, since it is smaller than the sum of its proper divisors (1402265063232).

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

399400372800 is a wasteful number, since it uses less digits than its factorization.

399400372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 399400372800 in words is "three hundred ninety-nine billion, four hundred million, three hundred seventy-two thousand, eight hundred".