504073705344 has 256 divisors, whose sum is σ = 1557909158400. Its totient is φ = 142712176640.

The previous prime is 504073705271. The next prime is 504073705349. The reversal of 504073705344 is 443507370405.

It is a junction number, because it is equal to n+sod(n) for n = 504073705296 and 504073705305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504073705349) 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, 9812077 + ... + 9863315.

It is an arithmetic number, because the mean of its divisors is an integer number (6085582650).

Almost surely, 2^504073705344 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 504073705344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778954579200).

504073705344 is an abundant number, since it is smaller than the sum of its proper divisors (1053835453056).

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

504073705344 is a wasteful number, since it uses less digits than its factorization.

504073705344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51421 (or 51409 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 42.

The spelling of 504073705344 in words is "five hundred four billion, seventy-three million, seven hundred five thousand, three hundred forty-four".