38925628639040 has 672 divisors, whose sum is σ = 121227393450240. Its totient is φ = 11762632949760.

The previous prime is 38925628639021. The next prime is 38925628639123. The reversal of 38925628639040 is 4093682652983.

It is a super-2 number, since 2×38925628639040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 196714871 + ... + 196912649.

It is an arithmetic number, because the mean of its divisors is an integer number (180397906920).

Almost surely, 2^{38925628639040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38925628639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60613696725120).

38925628639040 is an abundant number, since it is smaller than the sum of its proper divisors (82301764811200).

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

38925628639040 is a wasteful number, since it uses less digits than its factorization.

38925628639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197871 (or 197850 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 65.

The spelling of 38925628639040 in words is "thirty-eight trillion, nine hundred twenty-five billion, six hundred twenty-eight million, six hundred thirty-nine thousand, forty".