41908164257 has 2 divisors, whose sum is σ = 41908164258. Its totient is φ = 41908164256.

The previous prime is 41908164251. The next prime is 41908164289. The reversal of 41908164257 is 75246180914.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25985762401 + 15922401856 = 161201^2 + 126184^2 .

It is a cyclic number.

It is not a de Polignac number, because 41908164257 - 2²⁰ = 41907115681 is a prime.

It is not a weakly prime, because it can be changed into another prime (41908164251) by changing a digit.

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 as a sum of consecutive naturals, namely, 20954082128 + 20954082129.

It is an arithmetic number, because the mean of its divisors is an integer number (20954082129).

Almost surely, 2^41908164257 is an apocalyptic number.

It is an amenable number.

41908164257 is a deficient number, since it is larger than the sum of its proper divisors (1).

41908164257 is an equidigital number, since it uses as much as digits as its factorization.

41908164257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 41908164257 in words is "forty-one billion, nine hundred eight million, one hundred sixty-four thousand, two hundred fifty-seven".