4132414233257 has 2 divisors, whose sum is σ = 4132414233258. Its totient is φ = 4132414233256.

The previous prime is 4132414233239. The next prime is 4132414233271. The reversal of 4132414233257 is 7523324142314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3047325344281 + 1085088888976 = 1745659^2 + 1041676^2 .

It is a cyclic number.

It is not a de Polignac number, because 4132414233257 - 2⁶ = 4132414233193 is a prime.

It is not a weakly prime, because it can be changed into another prime (4132414233217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2066207116628 + 2066207116629.

It is an arithmetic number, because the mean of its divisors is an integer number (2066207116629).

Almost surely, 2^{4132414233257} is an apocalyptic number.

It is an amenable number.

4132414233257 is a deficient number, since it is larger than the sum of its proper divisors (1).

4132414233257 is an equidigital number, since it uses as much as digits as its factorization.

4132414233257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 483840, while the sum is 41.

The spelling of 4132414233257 in words is "four trillion, one hundred thirty-two billion, four hundred fourteen million, two hundred thirty-three thousand, two hundred fifty-seven".