382816506240 has 1536 divisors, whose sum is σ = 1640943360000. Its totient is φ = 84053458944.

The previous prime is 382816506157. The next prime is 382816506271. The reversal of 382816506240 is 42605618283.

382816506240 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 16 + 5 + 0 + 624 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3946561872 + ... + 3946561968.

It is an arithmetic number, because the mean of its divisors is an integer number (1068322500).

Almost surely, 2^382816506240 is an apocalyptic number.

382816506240 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 382816506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820471680000).

382816506240 is an abundant number, since it is smaller than the sum of its proper divisors (1258126853760).

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

382816506240 is a wasteful number, since it uses less digits than its factorization.

382816506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 382816506240 in words is "three hundred eighty-two billion, eight hundred sixteen million, five hundred six thousand, two hundred forty".