38993406566400 has 2016 divisors, whose sum is σ = 169613492583360. Its totient is φ = 8723850854400.

The previous prime is 38993406566399. The next prime is 38993406566423. The reversal of 38993406566400 is 466560439983.

It is a happy number.

38993406566400 is a `hidden beast` number, since 3 + 89 + 9 + 34 + 0 + 65 + 66 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8698058559 + ... + 8698063041.

Almost surely, 2^{38993406566400} is an apocalyptic number.

38993406566400 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 38993406566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84806746291680).

38993406566400 is an abundant number, since it is smaller than the sum of its proper divisors (130620086016960).

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

38993406566400 is a wasteful number, since it uses less digits than its factorization.

38993406566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4563 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 38993406566400 in words is "thirty-eight trillion, nine hundred ninety-three billion, four hundred six million, five hundred sixty-six thousand, four hundred".