381316515840 has 768 divisors, whose sum is σ = 1468822118400. Its totient is φ = 93279485952.

The previous prime is 381316515821. The next prime is 381316515851. The reversal of 381316515840 is 48515613183.

381316515840 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 1 + 65 + 1 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 995604289 + ... + 995604671.

It is an arithmetic number, because the mean of its divisors is an integer number (1912528800).

Almost surely, 2^381316515840 is an apocalyptic number.

381316515840 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 381316515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734411059200).

381316515840 is an abundant number, since it is smaller than the sum of its proper divisors (1087505602560).

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

381316515840 is a wasteful number, since it uses less digits than its factorization.

381316515840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 381316515840 in words is "three hundred eighty-one billion, three hundred sixteen million, five hundred fifteen thousand, eight hundred forty".