938399904000 has 864 divisors, whose sum is σ = 3771464721024. Its totient is φ = 230965862400.

The previous prime is 938399903981. The next prime is 938399904007. The reversal of 938399904000 is 409993839.

938399904000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (938399904007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101083359 + ... + 101092641.

Almost surely, 2^938399904000 is an apocalyptic number.

938399904000 is a gapful number since it is divisible by the number (90) 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 938399904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885732360512).

938399904000 is an abundant number, since it is smaller than the sum of its proper divisors (2833064817024).

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

938399904000 is an equidigital number, since it uses as much as digits as its factorization.

938399904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9342 (or 9306 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 938399904000 in words is "nine hundred thirty-eight billion, three hundred ninety-nine million, nine hundred four thousand".