38406857142528 has 432 divisors, whose sum is σ = 132442333128000. Its totient is φ = 10946518474752.

The previous prime is 38406857142509. The next prime is 38406857142581. The reversal of 38406857142528 is 82524175860483.

38406857142528 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 6 + 8 + 571 + 4 + 2 + 52 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138384763 + ... + 138662021.

Almost surely, 2^{38406857142528} 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 38406857142528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66221166564000).

38406857142528 is an abundant number, since it is smaller than the sum of its proper divisors (94035475985472).

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

38406857142528 is a wasteful number, since it uses less digits than its factorization.

38406857142528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277707 (or 277680 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 38406857142528 in words is "thirty-eight trillion, four hundred six billion, eight hundred fifty-seven million, one hundred forty-two thousand, five hundred twenty-eight".