41633166661001 has 8 divisors (see below), whose sum is σ = 42165850125000. Its totient is φ = 41102845430400.

The previous prime is 41633166660919. The next prime is 41633166661067. The reversal of 41633166661001 is 10016666133614.

41633166661001 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 4 ways, for example, as 19067588556025 + 22565578104976 = 4366645^2 + 4750324^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-41633166661001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41633166561001) 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 7 ways as a sum of consecutive naturals, for example, 590522876 + ... + 590593373.

It is an arithmetic number, because the mean of its divisors is an integer number (5270731265625).

Almost surely, 2^{41633166661001} is an apocalyptic number.

It is an amenable number.

41633166661001 is a deficient number, since it is larger than the sum of its proper divisors (532683463999).

41633166661001 is a wasteful number, since it uses less digits than its factorization.

41633166661001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181116699.

The product of its (nonzero) digits is 279936, while the sum is 44.

The spelling of 41633166661001 in words is "forty-one trillion, six hundred thirty-three billion, one hundred sixty-six million, six hundred sixty-one thousand, one".