38401125513477 has 32 divisors (see below), whose sum is σ = 53903807424000. Its totient is φ = 24288234259968.

The previous prime is 38401125513409. The next prime is 38401125513511. The reversal of 38401125513477 is 77431552110483.

It is not a de Polignac number, because 38401125513477 - 2²² = 38401121319173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38401125013477) 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, 12278352 + ... + 15085097.

It is an arithmetic number, because the mean of its divisors is an integer number (1684493982000).

Almost surely, 2^{38401125513477} is an apocalyptic number.

38401125513477 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

38401125513477 is a deficient number, since it is larger than the sum of its proper divisors (15502681910523).

38401125513477 is a wasteful number, since it uses less digits than its factorization.

38401125513477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27363805.

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 38401125513477 in words is "thirty-eight trillion, four hundred one billion, one hundred twenty-five million, five hundred thirteen thousand, four hundred seventy-seven".