381445380360 has 512 divisors, whose sum is σ = 1404034560000. Its totient is φ = 92108839680.

The previous prime is 381445380353. The next prime is 381445380413. The reversal of 381445380360 is 63083544183.

381445380360 is a `hidden beast` number, since 3 + 81 + 4 + 4 + 538 + 0 + 36 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 636803341 + ... + 636803939.

It is an arithmetic number, because the mean of its divisors is an integer number (2742255000).

Almost surely, 2^381445380360 is an apocalyptic number.

381445380360 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 381445380360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702017280000).

381445380360 is an abundant number, since it is smaller than the sum of its proper divisors (1022589179640).

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

381445380360 is a wasteful number, since it uses less digits than its factorization.

381445380360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 381445380360 in words is "three hundred eighty-one billion, four hundred forty-five million, three hundred eighty thousand, three hundred sixty".