41000642436564 has 36 divisors (see below), whose sum is σ = 103640726422324. Its totient is φ = 13666852645632.

The previous prime is 41000642436563. The next prime is 41000642436577. The reversal of 41000642436564 is 46563424600014.

41000642436564 is a `hidden beast` number, since 4 + 1 + 0 + 0 + 0 + 6 + 42 + 43 + 6 + 564 = 666.

41000642436564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 21058076632464 + 19942565804100 = 4588908^2 + 4465710^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41000642436563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23839734 + ... + 25501650.

Almost surely, 2^{41000642436564} is an apocalyptic number.

It is an amenable number.

41000642436564 is an abundant number, since it is smaller than the sum of its proper divisors (62640083985760).

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

41000642436564 is a wasteful number, since it uses less digits than its factorization.

41000642436564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347224 (or 2347219 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 41000642436564 in words is "forty-one trillion, six hundred forty-two million, four hundred thirty-six thousand, five hundred sixty-four".