41121565104329 has 2 divisors, whose sum is σ = 41121565104330. Its totient is φ = 41121565104328.

The previous prime is 41121565104119. The next prime is 41121565104337. The reversal of 41121565104329 is 92340156512114.

41121565104329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34707238951225 + 6414326153104 = 5891285^2 + 2532652^2 .

It is a cyclic number.

It is not a de Polignac number, because 41121565104329 - 2²⁸ = 41121296668873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 41121565104329.

It is not a weakly prime, because it can be changed into another prime (41121565124329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20560782552164 + 20560782552165.

It is an arithmetic number, because the mean of its divisors is an integer number (20560782552165).

Almost surely, 2^{41121565104329} is an apocalyptic number.

It is an amenable number.

41121565104329 is a deficient number, since it is larger than the sum of its proper divisors (1).

41121565104329 is an equidigital number, since it uses as much as digits as its factorization.

41121565104329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 259200, while the sum is 44.

The spelling of 41121565104329 in words is "forty-one trillion, one hundred twenty-one billion, five hundred sixty-five million, one hundred four thousand, three hundred twenty-nine".