41056506657 has 24 divisors (see below), whose sum is σ = 60450744744. Its totient is φ = 26842143744.

The previous prime is 41056506643. The next prime is 41056506677. The reversal of 41056506657 is 75660565014.

41056506657 is a `hidden beast` number, since 41 + 0 + 56 + 506 + 6 + 57 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5099245281 + 35957261376 = 71409^2 + 189624^2 .

It is not a de Polignac number, because 41056506657 - 2⁷ = 41056506529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41056506677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1074993 + ... + 1112529.

It is an arithmetic number, because the mean of its divisors is an integer number (2518781031).

Almost surely, 2^41056506657 is an apocalyptic number.

It is an amenable number.

41056506657 is a deficient number, since it is larger than the sum of its proper divisors (19394238087).

41056506657 is a wasteful number, since it uses less digits than its factorization.

41056506657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39889 (or 39886 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 41056506657 in words is "forty-one billion, fifty-six million, five hundred six thousand, six hundred fifty-seven".