41500882944 has 144 divisors (see below), whose sum is σ = 120047054400. Its totient is φ = 13812301824.

The previous prime is 41500882909. The next prime is 41500882949. The reversal of 41500882944 is 44928800514.

41500882944 is a `hidden beast` number, since 4 + 1 + 500 + 88 + 29 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 41500882944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41500882949) 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 11 ways as a sum of consecutive naturals, for example, 15905512 + ... + 15908120.

It is an arithmetic number, because the mean of its divisors is an integer number (833660100).

Almost surely, 2^41500882944 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 41500882944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60023527200).

41500882944 is an abundant number, since it is smaller than the sum of its proper divisors (78546171456).

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

41500882944 is a wasteful number, since it uses less digits than its factorization.

41500882944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 41500882944 in words is "forty-one billion, five hundred million, eight hundred eighty-two thousand, nine hundred forty-four".