504440761344 has 352 divisors, whose sum is σ = 1504118568960. Its totient is φ = 150143385600.

The previous prime is 504440761343. The next prime is 504440761351. The reversal of 504440761344 is 443167044405.

It is a junction number, because it is equal to n+sod(n) for n = 504440761296 and 504440761305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504440761343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209223499 + ... + 209225909.

Almost surely, 2^504440761344 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 504440761344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752059284480).

504440761344 is an abundant number, since it is smaller than the sum of its proper divisors (999677807616).

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

504440761344 is a wasteful number, since it uses less digits than its factorization.

504440761344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 504440761344 in words is "five hundred four billion, four hundred forty million, seven hundred sixty-one thousand, three hundred forty-four".