382316126400 has 756 divisors, whose sum is σ = 1484193315072. Its totient is φ = 93292093440.

The previous prime is 382316126393. The next prime is 382316126431. The reversal of 382316126400 is 4621613283.

382316126400 is a `hidden beast` number, since 3 + 8 + 2 + 3 + 1 + 6 + 1 + 2 + 640 + 0 = 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 (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 309066582 + ... + 309067818.

Almost surely, 2^382316126400 is an apocalyptic number.

382316126400 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 382316126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742096657536).

382316126400 is an abundant number, since it is smaller than the sum of its proper divisors (1101877188672).

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

382316126400 is a wasteful number, since it uses less digits than its factorization.

382316126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 382316126400 its reverse (4621613283), we get a palindrome (386937739683).

The spelling of 382316126400 in words is "three hundred eighty-two billion, three hundred sixteen million, one hundred twenty-six thousand, four hundred".