381430294776960 has 768 divisors, whose sum is σ = 1439893612080000. Its totient is φ = 85312948469760.

The previous prime is 381430294776959. The next prime is 381430294776991. The reversal of 381430294776960 is 69677492034183.

It is a super-2 number, since 2×381430294776960² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6339285756 + ... + 6339345924.

Almost surely, 2^{381430294776960} is an apocalyptic number.

381430294776960 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 381430294776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719946806040000).

381430294776960 is an abundant number, since it is smaller than the sum of its proper divisors (1058463317303040).

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

381430294776960 is a wasteful number, since it uses less digits than its factorization.

381430294776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62325 (or 62302 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 69.

The spelling of 381430294776960 in words is "three hundred eighty-one trillion, four hundred thirty billion, two hundred ninety-four million, seven hundred seventy-six thousand, nine hundred sixty".