938902406400 has 2160 divisors, whose sum is σ = 4202787115520. Its totient is φ = 204838502400.

The previous prime is 938902406383. The next prime is 938902406419. The reversal of 938902406400 is 4604209839.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

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, 12861676764 + ... + 12861676836.

Almost surely, 2^938902406400 is an apocalyptic number.

938902406400 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 938902406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101393557760).

938902406400 is an abundant number, since it is smaller than the sum of its proper divisors (3263884709120).

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

938902406400 is an equidigital number, since it uses as much as digits as its factorization.

938902406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 938902406400 in words is "nine hundred thirty-eight billion, nine hundred two million, four hundred six thousand, four hundred".