4205424234017 has 2 divisors, whose sum is σ = 4205424234018. Its totient is φ = 4205424234016.

The previous prime is 4205424233993. The next prime is 4205424234041. The reversal of 4205424234017 is 7104324245024.

It is a balanced prime because it is at equal distance from previous prime (4205424233993) and next prime (4205424234041).

It can be written as a sum of positive squares in only one way, i.e., 2127721086241 + 2077703147776 = 1458671^2 + 1441424^2 .

It is a cyclic number.

It is not a de Polignac number, because 4205424234017 - 2¹⁶ = 4205424168481 is a prime.

It is not a weakly prime, because it can be changed into another prime (4205424234047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2102712117008 + 2102712117009.

It is an arithmetic number, because the mean of its divisors is an integer number (2102712117009).

Almost surely, 2^{4205424234017} is an apocalyptic number.

It is an amenable number.

4205424234017 is a deficient number, since it is larger than the sum of its proper divisors (1).

4205424234017 is an equidigital number, since it uses as much as digits as its factorization.

4205424234017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 215040, while the sum is 38.

The spelling of 4205424234017 in words is "four trillion, two hundred five billion, four hundred twenty-four million, two hundred thirty-four thousand, seventeen".