413043440414057 has 2 divisors, whose sum is σ = 413043440414058. Its totient is φ = 413043440414056.

The previous prime is 413043440414029. The next prime is 413043440414081. The reversal of 413043440414057 is 750414044340314.

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., 360383295607696 + 52660144806361 = 18983764^2 + 7256731^2 .

It is a cyclic number.

It is not a de Polignac number, because 413043440414057 - 2¹⁸ = 413043440151913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413043440413999 and 413043440414017.

It is not a weakly prime, because it can be changed into another prime (413043440410057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206521720207028 + 206521720207029.

It is an arithmetic number, because the mean of its divisors is an integer number (206521720207029).

Almost surely, 2^{413043440414057} is an apocalyptic number.

It is an amenable number.

413043440414057 is a deficient number, since it is larger than the sum of its proper divisors (1).

413043440414057 is an equidigital number, since it uses as much as digits as its factorization.

413043440414057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1290240, while the sum is 44.

The spelling of 413043440414057 in words is "four hundred thirteen trillion, forty-three billion, four hundred forty million, four hundred fourteen thousand, fifty-seven".