413122140455441 has 2 divisors, whose sum is σ = 413122140455442. Its totient is φ = 413122140455440.

The previous prime is 413122140455419. The next prime is 413122140455459. The reversal of 413122140455441 is 144554041221314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 382568563609600 + 30553576845841 = 19559360^2 + 5527529^2 .

It is a cyclic number.

It is not a de Polignac number, because 413122140455441 - 2²² = 413122136261137 is a prime.

It is not a weakly prime, because it can be changed into another prime (413122140055441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206561070227720 + 206561070227721.

It is an arithmetic number, because the mean of its divisors is an integer number (206561070227721).

Almost surely, 2^{413122140455441} is an apocalyptic number.

It is an amenable number.

413122140455441 is a deficient number, since it is larger than the sum of its proper divisors (1).

413122140455441 is an equidigital number, since it uses as much as digits as its factorization.

413122140455441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 307200, while the sum is 41.

Adding to 413122140455441 its reverse (144554041221314), we get a palindrome (557676181676755).

The spelling of 413122140455441 in words is "four hundred thirteen trillion, one hundred twenty-two billion, one hundred forty million, four hundred fifty-five thousand, four hundred forty-one".