409459398497249 has 2 divisors, whose sum is σ = 409459398497250. Its totient is φ = 409459398497248.

The previous prime is 409459398497189. The next prime is 409459398497263. The reversal of 409459398497249 is 942794893954904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 330779518149025 + 78679880348224 = 18187345^2 + 8870168^2 .

It is a cyclic number.

It is not a de Polignac number, because 409459398497249 - 2²⁴ = 409459381720033 is a prime.

It is not a weakly prime, because it can be changed into another prime (409459398491249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204729699248624 + 204729699248625.

It is an arithmetic number, because the mean of its divisors is an integer number (204729699248625).

Almost surely, 2^{409459398497249} is an apocalyptic number.

It is an amenable number.

409459398497249 is a deficient number, since it is larger than the sum of its proper divisors (1).

409459398497249 is an equidigital number, since it uses as much as digits as its factorization.

409459398497249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25395793920, while the sum is 86.

The spelling of 409459398497249 in words is "four hundred nine trillion, four hundred fifty-nine billion, three hundred ninety-eight million, four hundred ninety-seven thousand, two hundred forty-nine".