381320458627320 has 128 divisors (see below), whose sum is σ = 1312070395392000. Its totient is φ = 98405279637120.

The previous prime is 381320458627279. The next prime is 381320458627331. The reversal of 381320458627320 is 23726854023183.

381320458627320 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 2 + 0 + 4 + 5 + 8 + 627 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5694716500 + ... + 5694783459.

It is an arithmetic number, because the mean of its divisors is an integer number (10250549964000).

Almost surely, 2^{381320458627320} is an apocalyptic number.

381320458627320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381320458627320 is an abundant number, since it is smaller than the sum of its proper divisors (930749936764680).

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

381320458627320 is a wasteful number, since it uses less digits than its factorization.

381320458627320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11389500010 (or 11389500000 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 381320458627320 in words is "three hundred eighty-one trillion, three hundred twenty billion, four hundred fifty-eight million, six hundred twenty-seven thousand, three hundred twenty".