41689368441657 has 24 divisors (see below), whose sum is σ = 64002754961600. Its totient is φ = 26074495120608.

The previous prime is 41689368441629. The next prime is 41689368441673. The reversal of 41689368441657 is 75614486398614.

41689368441657 is a `hidden beast` number, since 4 + 1 + 6 + 89 + 3 + 6 + 84 + 416 + 57 = 666.

It is not a de Polignac number, because 41689368441657 - 2⁸ = 41689368441401 is a prime.

It is a super-4 number, since 4×41689368441657⁴ (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41689368441157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1183465282 + ... + 1183500507.

Almost surely, 2^{41689368441657} is an apocalyptic number.

It is an amenable number.

41689368441657 is a deficient number, since it is larger than the sum of its proper divisors (22313386519943).

41689368441657 is a wasteful number, since it uses less digits than its factorization.

41689368441657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366965917 (or 2366965914 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 41689368441657 in words is "forty-one trillion, six hundred eighty-nine billion, three hundred sixty-eight million, four hundred forty-one thousand, six hundred fifty-seven".