38401375502601 has 32 divisors (see below), whose sum is σ = 59077771468800. Its totient is φ = 24626727101520.

The previous prime is 38401375502587. The next prime is 38401375502617. The reversal of 38401375502601 is 10620557310483.

It is a happy number.

38401375502601 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 1 + 37 + 5 + 5 + 0 + 2 + 601 = 666.

It is not a de Polignac number, because 38401375502601 - 2²⁶ = 38401308393737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38401375502641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137224831 + ... + 137504388.

It is an arithmetic number, because the mean of its divisors is an integer number (1846180358400).

Almost surely, 2^{38401375502601} is an apocalyptic number.

38401375502601 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

38401375502601 is a deficient number, since it is larger than the sum of its proper divisors (20676395966199).

38401375502601 is a wasteful number, since it uses less digits than its factorization.

38401375502601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274729426 (or 274729420 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 38401375502601 in words is "thirty-eight trillion, four hundred one billion, three hundred seventy-five million, five hundred two thousand, six hundred one".