399828624000 has 512 divisors, whose sum is σ = 1457865077760. Its totient is φ = 96318259200.

The previous prime is 399828623993. The next prime is 399828624011. The reversal of 399828624000 is 426828993.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29321184 + ... + 29334816.

It is an arithmetic number, because the mean of its divisors is an integer number (2847392730).

Almost surely, 2^399828624000 is an apocalyptic number.

399828624000 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 399828624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728932538880).

399828624000 is an abundant number, since it is smaller than the sum of its proper divisors (1058036453760).

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

399828624000 is a wasteful number, since it uses less digits than its factorization.

399828624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13725 (or 13703 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 399828624000 in words is "three hundred ninety-nine billion, eight hundred twenty-eight million, six hundred twenty-four thousand".