501024220416 has 72 divisors (see below), whose sum is σ = 1481616783360. Its totient is φ = 167008071168.

The previous prime is 501024220391. The next prime is 501024220421. The reversal of 501024220416 is 614022420105.

501024220416 is a `hidden beast` number, since 5 + 0 + 1 + 0 + 24 + 220 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 501024220416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36236160 + ... + 36249983.

It is an arithmetic number, because the mean of its divisors is an integer number (20578010880).

Almost surely, 2^501024220416 is an apocalyptic number.

It is an amenable number.

501024220416 is an abundant number, since it is smaller than the sum of its proper divisors (980592562944).

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

501024220416 is an equidigital number, since it uses as much as digits as its factorization.

501024220416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72486168 (or 72486148 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 501024220416 in words is "five hundred one billion, twenty-four million, two hundred twenty thousand, four hundred sixteen".