410005434145249 has 2 divisors, whose sum is σ = 410005434145250. Its totient is φ = 410005434145248.

The previous prime is 410005434145199. The next prime is 410005434145271. The reversal of 410005434145249 is 942541434500014.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 338505979755024 + 71499454390225 = 18398532^2 + 8455735^2 .

It is a cyclic number.

It is not a de Polignac number, because 410005434145249 - 2⁹ = 410005434144737 is a prime.

It is a super-2 number, since 2×410005434145249² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 410005434145199 and 410005434145208.

It is not a weakly prime, because it can be changed into another prime (410005434148249) 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, 205002717072624 + 205002717072625.

It is an arithmetic number, because the mean of its divisors is an integer number (205002717072625).

Almost surely, 2^{410005434145249} is an apocalyptic number.

It is an amenable number.

410005434145249 is a deficient number, since it is larger than the sum of its proper divisors (1).

410005434145249 is an equidigital number, since it uses as much as digits as its factorization.

410005434145249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 410005434145249 in words is "four hundred ten trillion, five billion, four hundred thirty-four million, one hundred forty-five thousand, two hundred forty-nine".