41588882960 has 80 divisors (see below), whose sum is σ = 102440001456. Its totient is φ = 15648129024.

The previous prime is 41588882953. The next prime is 41588882981. The reversal of 41588882960 is 6928888514.

It can be written as a sum of positive squares in 8 ways, for example, as 14186715664 + 27402167296 = 119108^2 + 165536^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 41588882960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2708264 + ... + 2723576.

Almost surely, 2^41588882960 is an apocalyptic number.

41588882960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41588882960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51220000728).

41588882960 is an abundant number, since it is smaller than the sum of its proper divisors (60851118496).

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

41588882960 is a wasteful number, since it uses less digits than its factorization.

41588882960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17340 (or 17334 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 59.

The spelling of 41588882960 in words is "forty-one billion, five hundred eighty-eight million, eight hundred eighty-two thousand, nine hundred sixty".