504331424000 has 144 divisors (see below), whose sum is σ = 1257534248880. Its totient is φ = 201542860800.

The previous prime is 504331423997. The next prime is 504331424017. The reversal of 504331424000 is 424133405.

It can be written as a sum of positive squares in 8 ways, for example, as 49149116416 + 455182307584 = 221696^2 + 674672^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36889166 + ... + 36902834.

Almost surely, 2^504331424000 is an apocalyptic number.

504331424000 is a gapful number since it is divisible by the number (50) 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 504331424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628767124440).

504331424000 is an abundant number, since it is smaller than the sum of its proper divisors (753202824880).

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

504331424000 is a wasteful number, since it uses less digits than its factorization.

504331424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14853 (or 14829 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 504331424000 its reverse (424133405), we get a palindrome (504755557405).

The spelling of 504331424000 in words is "five hundred four billion, three hundred thirty-one million, four hundred twenty-four thousand".