38426018907744 has 768 divisors, whose sum is σ = 131271133593600. Its totient is φ = 10829604096000.

The previous prime is 38426018907739. The next prime is 38426018907751. The reversal of 38426018907744 is 44770981062483.

38426018907744 is a `hidden beast` number, since 3 + 8 + 426 + 0 + 18 + 90 + 77 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9599303247 + ... + 9599307249.

It is an arithmetic number, because the mean of its divisors is an integer number (170925955200).

Almost surely, 2^{38426018907744} 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 38426018907744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65635566796800).

38426018907744 is an abundant number, since it is smaller than the sum of its proper divisors (92845114685856).

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

38426018907744 is a wasteful number, since it uses less digits than its factorization.

38426018907744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5536 (or 5522 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 38426018907744 in words is "thirty-eight trillion, four hundred twenty-six billion, eighteen million, nine hundred seven thousand, seven hundred forty-four".