501625003660440 has 256 divisors, whose sum is σ = 1683212623948800. Its totient is φ = 118534961356800.

The previous prime is 501625003660427. The next prime is 501625003660453. The reversal of 501625003660440 is 44066300526105.

It is an interprime number because it is at equal distance from previous prime (501625003660427) and next prime (501625003660453).

It is a junction number, because it is equal to n+sod(n) for n = 501625003660392 and 501625003660401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56996629 + ... + 65206331.

It is an arithmetic number, because the mean of its divisors is an integer number (6575049312300).

Almost surely, 2^{501625003660440} 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 501625003660440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841606311974400).

501625003660440 is an abundant number, since it is smaller than the sum of its proper divisors (1181587620288360).

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

501625003660440 is a wasteful number, since it uses less digits than its factorization.

501625003660440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8210898 (or 8210894 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 501625003660440 in words is "five hundred one trillion, six hundred twenty-five billion, three million, six hundred sixty thousand, four hundred forty".