41007919264 has 48 divisors (see below), whose sum is σ = 87151566600. Its totient is φ = 18881694720.

The previous prime is 41007919247. The next prime is 41007919283. The reversal of 41007919264 is 46291970014.

It can be written as a sum of positive squares in 4 ways, for example, as 7995936400 + 33011982864 = 89420^2 + 181692^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41007919264.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58062 + ... + 292210.

Almost surely, 2^41007919264 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 41007919264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43575783300).

41007919264 is an abundant number, since it is smaller than the sum of its proper divisors (46143647336).

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

41007919264 is a wasteful number, since it uses less digits than its factorization.

41007919264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234593 (or 234585 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 41007919264 in words is "forty-one billion, seven million, nine hundred nineteen thousand, two hundred sixty-four".