38400417792000 has 1360 divisors, whose sum is σ = 156224330200224. Its totient is φ = 9307422720000.

The previous prime is 38400417791969. The next prime is 38400417792013. The reversal of 38400417792000 is 29771400483.

38400417792000 is a `hidden beast` number, since 38 + 400 + 4 + 1 + 7 + 7 + 9 + 200 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 7299069370 + ... + 7299074630.

Almost surely, 2^{38400417792000} is an apocalyptic number.

38400417792000 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 38400417792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78112165100112).

38400417792000 is an abundant number, since it is smaller than the sum of its proper divisors (117823912408224).

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

38400417792000 is an frugal number, since it uses more digits than its factorization.

38400417792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331 (or 5282 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 38400417792000 in words is "thirty-eight trillion, four hundred billion, four hundred seventeen million, seven hundred ninety-two thousand".