414112344461 has 2 divisors, whose sum is σ = 414112344462. Its totient is φ = 414112344460.

The previous prime is 414112344439. The next prime is 414112344473. The reversal of 414112344461 is 164443211414.

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., 319599139561 + 94513204900 = 565331^2 + 307430^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414112344461 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414112344761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207056172230 + 207056172231.

It is an arithmetic number, because the mean of its divisors is an integer number (207056172231).

Almost surely, 2^414112344461 is an apocalyptic number.

It is an amenable number.

414112344461 is a deficient number, since it is larger than the sum of its proper divisors (1).

414112344461 is an equidigital number, since it uses as much as digits as its factorization.

414112344461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36864, while the sum is 35.

Adding to 414112344461 its reverse (164443211414), we get a palindrome (578555555875).

The spelling of 414112344461 in words is "four hundred fourteen billion, one hundred twelve million, three hundred forty-four thousand, four hundred sixty-one".