38113597440 has 864 divisors, whose sum is σ = 148265011440. Its totient is φ = 9385279488.

The previous prime is 38113597429. The next prime is 38113597471. The reversal of 38113597440 is 4479531183.

38113597440 is a `hidden beast` number, since 3 + 8 + 1 + 13 + 597 + 4 + 40 = 666.

38113597440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 719124454 + ... + 719124506.

Almost surely, 2^38113597440 is an apocalyptic number.

38113597440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38113597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74132505720).

38113597440 is an abundant number, since it is smaller than the sum of its proper divisors (110151414000).

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

38113597440 is an equidigital number, since it uses as much as digits as its factorization.

38113597440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 38113597440 in words is "thirty-eight billion, one hundred thirteen million, five hundred ninety-seven thousand, four hundred forty".