382420523520 has 1200 divisors, whose sum is σ = 1602069460992. Its totient is φ = 84211384320.

The previous prime is 382420523519. The next prime is 382420523531. The reversal of 382420523520 is 25325024283.

382420523520 is a `hidden beast` number, since 3 + 82 + 4 + 2 + 0 + 52 + 3 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1714890129 + ... + 1714890351.

Almost surely, 2^382420523520 is an apocalyptic number.

382420523520 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 382420523520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801034730496).

382420523520 is an abundant number, since it is smaller than the sum of its proper divisors (1219648937472).

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

382420523520 is an equidigital number, since it uses as much as digits as its factorization.

382420523520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 382420523520 in words is "three hundred eighty-two billion, four hundred twenty million, five hundred twenty-three thousand, five hundred twenty".