396582534144 has 264 divisors, whose sum is σ = 1162815544800. Its totient is φ = 130166784000.

The previous prime is 396582534109. The next prime is 396582534181. The reversal of 396582534144 is 441435285693.

It is a happy number.

396582534144 is a `hidden beast` number, since 3 + 9 + 6 + 582 + 53 + 4 + 1 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185231314 + ... + 185233454.

Almost surely, 2^396582534144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396582534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581407772400).

396582534144 is an abundant number, since it is smaller than the sum of its proper divisors (766233010656).

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

396582534144 is a wasteful number, since it uses less digits than its factorization.

396582534144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2446 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 396582534144 in words is "three hundred ninety-six billion, five hundred eighty-two million, five hundred thirty-four thousand, one hundred forty-four".