38913175440 has 320 divisors, whose sum is σ = 145385694720. Its totient is φ = 9527869440.

The previous prime is 38913175417. The next prime is 38913175451. The reversal of 38913175440 is 4457131983.

38913175440 is a `hidden beast` number, since 3 + 8 + 9 + 131 + 75 + 440 = 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 63 ways as a sum of consecutive naturals, for example, 1492597 + ... + 1518443.

It is an arithmetic number, because the mean of its divisors is an integer number (454330296).

Almost surely, 2^38913175440 is an apocalyptic number.

38913175440 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 38913175440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72692847360).

38913175440 is an abundant number, since it is smaller than the sum of its proper divisors (106472519280).

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

38913175440 is a wasteful number, since it uses less digits than its factorization.

38913175440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25927 (or 25915 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 38913175440 in words is "thirty-eight billion, nine hundred thirteen million, one hundred seventy-five thousand, four hundred forty".