41488625664 has 312 divisors, whose sum is σ = 127881823680. Its totient is φ = 12914786304.

The previous prime is 41488625657. The next prime is 41488625671. The reversal of 41488625664 is 46652688414.

41488625664 is a `hidden beast` number, since 4 + 1 + 4 + 8 + 8 + 625 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (41488625657) and next prime (41488625671).

It is a self number, because there is not a number n which added to its sum of digits gives 41488625664.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149778294 + ... + 149778570.

It is an arithmetic number, because the mean of its divisors is an integer number (409877640).

Almost surely, 2^41488625664 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 41488625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63940911840).

41488625664 is an abundant number, since it is smaller than the sum of its proper divisors (86393198016).

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

41488625664 is a wasteful number, since it uses less digits than its factorization.

41488625664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 538 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 41488625664 in words is "forty-one billion, four hundred eighty-eight million, six hundred twenty-five thousand, six hundred sixty-four".