500120241055344 has 480 divisors, whose sum is σ = 1725729139016064. Its totient is φ = 131663164538880.

The previous prime is 500120241055313. The next prime is 500120241055381. The reversal of 500120241055344 is 443550142021005.

500120241055344 is a `hidden beast` number, since 5 + 0 + 0 + 1 + 20 + 2 + 41 + 0 + 553 + 44 = 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 = 500120241055299 and 500120241055308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36133237864 + ... + 36133251704.

Almost surely, 2^{500120241055344} 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 500120241055344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862864569508032).

500120241055344 is an abundant number, since it is smaller than the sum of its proper divisors (1225608897960720).

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

500120241055344 is a wasteful number, since it uses less digits than its factorization.

500120241055344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18625 (or 18616 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 500120241055344 its reverse (443550142021005), we get a palindrome (943670383076349).

The spelling of 500120241055344 in words is "five hundred trillion, one hundred twenty billion, two hundred forty-one million, fifty-five thousand, three hundred forty-four".