416224027361 has 2 divisors, whose sum is σ = 416224027362. Its totient is φ = 416224027360.

The previous prime is 416224027327. The next prime is 416224027391. The reversal of 416224027361 is 163720422614.

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., 401347590400 + 14876436961 = 633520^2 + 121969^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-416224027361 is a prime.

It is a super-2 number, since 2×416224027361² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (416224027391) 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, 208112013680 + 208112013681.

It is an arithmetic number, because the mean of its divisors is an integer number (208112013681).

Almost surely, 2^416224027361 is an apocalyptic number.

It is an amenable number.

416224027361 is a deficient number, since it is larger than the sum of its proper divisors (1).

416224027361 is an equidigital number, since it uses as much as digits as its factorization.

416224027361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 38.

Adding to 416224027361 its reverse (163720422614), we get a palindrome (579944449975).

The spelling of 416224027361 in words is "four hundred sixteen billion, two hundred twenty-four million, twenty-seven thousand, three hundred sixty-one".