503242813440 has 728 divisors, whose sum is σ = 1861601727168. Its totient is φ = 130427781120.

The previous prime is 503242813439. The next prime is 503242813457. The reversal of 503242813440 is 44318242305.

503242813440 is a `hidden beast` number, since 5 + 0 + 32 + 4 + 281 + 344 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 503242813395 and 503242813404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 552406585 + ... + 552407495.

Almost surely, 2^503242813440 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 503242813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930800863584).

503242813440 is an abundant number, since it is smaller than the sum of its proper divisors (1358358913728).

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

503242813440 is an frugal number, since it uses more digits than its factorization.

503242813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 503242813440 in words is "five hundred three billion, two hundred forty-two million, eight hundred thirteen thousand, four hundred forty".