501401537844480 has 1728 divisors, whose sum is σ = 2161798128322560. Its totient is φ = 104472104140800.

The previous prime is 501401537844443. The next prime is 501401537844511. The reversal of 501401537844480 is 84448735104105.

It is a happy number.

501401537844480 is a `hidden beast` number, since 5 + 0 + 1 + 4 + 0 + 1 + 53 + 78 + 44 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87795748825 + ... + 87795754535.

It is an arithmetic number, because the mean of its divisors is an integer number (1251040583520).

Almost surely, 2^{501401537844480} 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 501401537844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080899064161280).

501401537844480 is an abundant number, since it is smaller than the sum of its proper divisors (1660396590478080).

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

501401537844480 is a wasteful number, since it uses less digits than its factorization.

501401537844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6788 (or 6771 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 501401537844480 in words is "five hundred one trillion, four hundred one billion, five hundred thirty-seven million, eight hundred forty-four thousand, four hundred eighty".