501414231966480 has 2880 divisors, whose sum is σ = 2144373067339776. Its totient is φ = 108418093056000.

The previous prime is 501414231966377. The next prime is 501414231966523. The reversal of 501414231966480 is 84669132414105.

501414231966480 is a `hidden beast` number, since 5 + 0 + 1 + 4 + 1 + 42 + 31 + 96 + 6 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 575 ways as a sum of consecutive naturals, for example, 658888609300 + ... + 658888610060.

Almost surely, 2^{501414231966480} 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 501414231966480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072186533669888).

501414231966480 is an abundant number, since it is smaller than the sum of its proper divisors (1642958835373296).

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

501414231966480 is a wasteful number, since it uses less digits than its factorization.

501414231966480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 501414231966480 in words is "five hundred one trillion, four hundred fourteen billion, two hundred thirty-one million, nine hundred sixty-six thousand, four hundred eighty".