41581541664 has 144 divisors (see below), whose sum is σ = 128581008192. Its totient is φ = 12669986304.

The previous prime is 41581541653. The next prime is 41581541681. The reversal of 41581541664 is 46614518514.

41581541664 is a `hidden beast` number, since 4 + 1 + 581 + 5 + 4 + 1 + 6 + 64 = 666.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 331719 + ... + 439545.

It is an arithmetic number, because the mean of its divisors is an integer number (892923668).

Almost surely, 2^41581541664 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 41581541664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64290504096).

41581541664 is an abundant number, since it is smaller than the sum of its proper divisors (86999466528).

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

41581541664 is a wasteful number, since it uses less digits than its factorization.

41581541664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107959 (or 107948 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 41581541664 in words is "forty-one billion, five hundred eighty-one million, five hundred forty-one thousand, six hundred sixty-four".