4002022041257 has 2 divisors, whose sum is σ = 4002022041258. Its totient is φ = 4002022041256.

The previous prime is 4002022041223. The next prime is 4002022041263. The reversal of 4002022041257 is 7521402202004.

4002022041257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3347377613056 + 654644428201 = 1829584^2 + 809101^2 .

It is a cyclic number.

It is not a de Polignac number, because 4002022041257 - 2³⁰ = 4000948299433 is a prime.

It is not a weakly prime, because it can be changed into another prime (4002022041217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2001011020628 + 2001011020629.

It is an arithmetic number, because the mean of its divisors is an integer number (2001011020629).

Almost surely, 2^{4002022041257} is an apocalyptic number.

It is an amenable number.

4002022041257 is a deficient number, since it is larger than the sum of its proper divisors (1).

4002022041257 is an equidigital number, since it uses as much as digits as its factorization.

4002022041257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8960, while the sum is 29.

The spelling of 4002022041257 in words is "four trillion, two billion, twenty-two million, forty-one thousand, two hundred fifty-seven".