41685729835049 has 2 divisors, whose sum is σ = 41685729835050. Its totient is φ = 41685729835048.

The previous prime is 41685729835027. The next prime is 41685729835129. The reversal of 41685729835049 is 94053892758614.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39252192234649 + 2433537600400 = 6265157^2 + 1559980^2 .

It is a cyclic number.

It is not a de Polignac number, because 41685729835049 - 2¹⁶ = 41685729769513 is a prime.

It is not a weakly prime, because it can be changed into another prime (41685729835019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20842864917524 + 20842864917525.

It is an arithmetic number, because the mean of its divisors is an integer number (20842864917525).

It is a 1-persistent number, because it is pandigital, but 2⋅41685729835049 = 83371459670098 is not.

Almost surely, 2^{41685729835049} is an apocalyptic number.

It is an amenable number.

41685729835049 is a deficient number, since it is larger than the sum of its proper divisors (1).

41685729835049 is an equidigital number, since it uses as much as digits as its factorization.

41685729835049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 522547200, while the sum is 71.

The spelling of 41685729835049 in words is "forty-one trillion, six hundred eighty-five billion, seven hundred twenty-nine million, eight hundred thirty-five thousand, forty-nine".