38404025132814 has 96 divisors (see below), whose sum is σ = 92069947607040. Its totient is φ = 11471392497600.

The previous prime is 38404025132813. The next prime is 38404025132849. The reversal of 38404025132814 is 41823152040483.

38404025132814 is a `hidden beast` number, since 3 + 84 + 0 + 40 + 2 + 513 + 2 + 8 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38404025132814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38404025132813) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71103427 + ... + 71641505.

It is an arithmetic number, because the mean of its divisors is an integer number (959061954240).

Almost surely, 2^{38404025132814} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38404025132814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46034973803520).

38404025132814 is an abundant number, since it is smaller than the sum of its proper divisors (53665922474226).

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

38404025132814 is a wasteful number, since it uses less digits than its factorization.

38404025132814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543246 (or 543243 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 38404025132814 in words is "thirty-eight trillion, four hundred four billion, twenty-five million, one hundred thirty-two thousand, eight hundred fourteen".