4224040404257 has 2 divisors, whose sum is σ = 4224040404258. Its totient is φ = 4224040404256.

The previous prime is 4224040404139. The next prime is 4224040404289. The reversal of 4224040404257 is 7524040404224.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2340116705536 + 1883923698721 = 1529744^2 + 1372561^2 .

It is a cyclic number.

It is not a de Polignac number, because 4224040404257 - 2²⁴ = 4224023627041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4224040404257.

It is not a weakly prime, because it can be changed into another prime (4224040424257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2112020202128 + 2112020202129.

It is an arithmetic number, because the mean of its divisors is an integer number (2112020202129).

Almost surely, 2^{4224040404257} is an apocalyptic number.

It is an amenable number.

4224040404257 is a deficient number, since it is larger than the sum of its proper divisors (1).

4224040404257 is an equidigital number, since it uses as much as digits as its factorization.

4224040404257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 286720, while the sum is 38.

The spelling of 4224040404257 in words is "four trillion, two hundred twenty-four billion, forty million, four hundred four thousand, two hundred fifty-seven".