41088958656 has 112 divisors (see below), whose sum is σ = 115327236960. Its totient is φ = 12866273280.

The previous prime is 41088958637. The next prime is 41088958657. The reversal of 41088958656 is 65685988014.

It is a self number, because there is not a number n which added to its sum of digits gives 41088958656.

It is not an unprimeable number, because it can be changed into a prime (41088958657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1754190 + ... + 1777458.

Almost surely, 2^41088958656 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 41088958656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57663618480).

41088958656 is an abundant number, since it is smaller than the sum of its proper divisors (74238278304).

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

41088958656 is a wasteful number, since it uses less digits than its factorization.

41088958656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23842 (or 23832 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 60.

The spelling of 41088958656 in words is "forty-one billion, eighty-eight million, nine hundred fifty-eight thousand, six hundred fifty-six".