382039080284160 has 1456 divisors, whose sum is σ = 1482814765208448. Its totient is φ = 93879336960000.

The previous prime is 382039080284131. The next prime is 382039080284171. The reversal of 382039080284160 is 61482080930283.

382039080284160 is a `hidden beast` number, since 3 + 82 + 0 + 390 + 80 + 2 + 8 + 41 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 382039080284097 and 382039080284106.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 145760807650 + ... + 145760810270.

Almost surely, 2^{382039080284160} is an apocalyptic number.

382039080284160 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 382039080284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741407382604224).

382039080284160 is an abundant number, since it is smaller than the sum of its proper divisors (1100775684924288).

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

382039080284160 is an equidigital number, since it uses as much as digits as its factorization.

382039080284160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3432 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 382039080284160 in words is "three hundred eighty-two trillion, thirty-nine billion, eighty million, two hundred eighty-four thousand, one hundred sixty".