416318041 has 2 divisors, whose sum is σ = 416318042. Its totient is φ = 416318040.

The previous prime is 416318033. The next prime is 416318047. The reversal of 416318041 is 140813614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 403206400 + 13111641 = 20080^2 + 3621^2 .

It is a cyclic number.

It is not a de Polignac number, because 416318041 - 2³ = 416318033 is a prime.

It is a super-2 number, since 2×416318041² = 346641422524155362, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (416318047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208159020 + 208159021.

It is an arithmetic number, because the mean of its divisors is an integer number (208159021).

Almost surely, 2^416318041 is an apocalyptic number.

It is an amenable number.

416318041 is a deficient number, since it is larger than the sum of its proper divisors (1).

416318041 is an equidigital number, since it uses as much as digits as its factorization.

416318041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 416318041 is about 20403.8731862360. The cubic root of 416318041 is about 746.6924219388.

The spelling of 416318041 in words is "four hundred sixteen million, three hundred eighteen thousand, forty-one".