4057765841 has 2 divisors, whose sum is σ = 4057765842. Its totient is φ = 4057765840.

The previous prime is 4057765759. The next prime is 4057765843. The reversal of 4057765841 is 1485677504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4034917441 + 22848400 = 63521^2 + 4780^2 .

It is a cyclic number.

It is not a de Polignac number, because 4057765841 - 2¹⁰ = 4057764817 is a prime.

Together with 4057765843, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4057765843) 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, 2028882920 + 2028882921.

It is an arithmetic number, because the mean of its divisors is an integer number (2028882921).

Almost surely, 2^4057765841 is an apocalyptic number.

It is an amenable number.

4057765841 is a deficient number, since it is larger than the sum of its proper divisors (1).

4057765841 is an equidigital number, since it uses as much as digits as its factorization.

4057765841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 940800, while the sum is 47.

The square root of 4057765841 is about 63700.5952954915. The cubic root of 4057765841 is about 1595.0060227168.

The spelling of 4057765841 in words is "four billion, fifty-seven million, seven hundred sixty-five thousand, eight hundred forty-one".