381257150814720 has 800 divisors, whose sum is σ = 1400261092710480. Its totient is φ = 99088697917440.

The previous prime is 381257150814713. The next prime is 381257150814737. The reversal of 381257150814720 is 27418051752183.

381257150814720 is a `hidden beast` number, since 3 + 8 + 1 + 2 + 5 + 71 + 508 + 1 + 47 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 55861154337024 + 325395996477696 = 7474032^2 + 18038736^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8612260746 + ... + 8612305014.

Almost surely, 2^{381257150814720} is an apocalyptic number.

381257150814720 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 381257150814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700130546355240).

381257150814720 is an abundant number, since it is smaller than the sum of its proper divisors (1019003941895760).

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

381257150814720 is a wasteful number, since it uses less digits than its factorization.

381257150814720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45358 (or 45333 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 381257150814720 in words is "three hundred eighty-one trillion, two hundred fifty-seven billion, one hundred fifty million, eight hundred fourteen thousand, seven hundred twenty".