41685729835129 has 2 divisors, whose sum is σ = 41685729835130. Its totient is φ = 41685729835128.

The previous prime is 41685729835049. The next prime is 41685729835193. The reversal of 41685729835129 is 92153892758614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33343175666025 + 8342554169104 = 5774355^2 + 2888348^2 .

It is a cyclic number.

It is not a de Polignac number, because 41685729835129 - 2¹⁵ = 41685729802361 is a prime.

It is not a weakly prime, because it can be changed into another prime (41685729835829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20842864917564 + 20842864917565.

It is an arithmetic number, because the mean of its divisors is an integer number (20842864917565).

Almost surely, 2^{41685729835129} is an apocalyptic number.

It is an amenable number.

41685729835129 is a deficient number, since it is larger than the sum of its proper divisors (1).

41685729835129 is an equidigital number, since it uses as much as digits as its factorization.

41685729835129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 261273600, while the sum is 70.

The spelling of 41685729835129 in words is "forty-one trillion, six hundred eighty-five billion, seven hundred twenty-nine million, eight hundred thirty-five thousand, one hundred twenty-nine".