381517402560 has 168 divisors, whose sum is σ = 1409084090640. Its totient is φ = 87203966976.

The previous prime is 381517402547. The next prime is 381517402571. The reversal of 381517402560 is 65204715183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×381517402560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4008205 + ... + 4102284.

Almost surely, 2^381517402560 is an apocalyptic number.

381517402560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381517402560 is an abundant number, since it is smaller than the sum of its proper divisors (1027566688080).

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

381517402560 is a wasteful number, since it uses less digits than its factorization.

381517402560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8110523 (or 8110506 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 381517402560 in words is "three hundred eighty-one billion, five hundred seventeen million, four hundred two thousand, five hundred sixty".