41586985098221 has 2 divisors, whose sum is σ = 41586985098222. Its totient is φ = 41586985098220.

The previous prime is 41586985098167. The next prime is 41586985098283. The reversal of 41586985098221 is 12289058968514.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40771558038121 + 815427060100 = 6385261^2 + 903010^2 .

It is a cyclic number.

It is not a de Polignac number, because 41586985098221 - 2³⁴ = 41569805229037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41586985088221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20793492549110 + 20793492549111.

It is an arithmetic number, because the mean of its divisors is an integer number (20793492549111).

Almost surely, 2^{41586985098221} is an apocalyptic number.

It is an amenable number.

41586985098221 is a deficient number, since it is larger than the sum of its proper divisors (1).

41586985098221 is an equidigital number, since it uses as much as digits as its factorization.

41586985098221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 99532800, while the sum is 68.

The spelling of 41586985098221 in words is "forty-one trillion, five hundred eighty-six billion, nine hundred eighty-five million, ninety-eight thousand, two hundred twenty-one".