41581043168 has 96 divisors (see below), whose sum is σ = 94505310144. Its totient is φ = 17640640512.

The previous prime is 41581043167. The next prime is 41581043173. The reversal of 41581043168 is 86134018514.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41581043167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12181430 + ... + 12184842.

It is an arithmetic number, because the mean of its divisors is an integer number (984430314).

Almost surely, 2^41581043168 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 41581043168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47252655072).

41581043168 is an abundant number, since it is smaller than the sum of its proper divisors (52924266976).

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

41581043168 is a wasteful number, since it uses less digits than its factorization.

41581043168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964 (or 3956 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 41581043168 in words is "forty-one billion, five hundred eighty-one million, forty-three thousand, one hundred sixty-eight".