4057737946181 has 2 divisors, whose sum is σ = 4057737946182. Its totient is φ = 4057737946180.

The previous prime is 4057737946151. The next prime is 4057737946183. The reversal of 4057737946181 is 1816497377504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3785102545156 + 272635401025 = 1945534^2 + 522145^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4057737946181 is a prime.

It is a super-2 number, since 2×4057737946181² (a number of 26 digits) contains 22 as substring.

Together with 4057737946183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4057737946183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2028868973090 + 2028868973091.

It is an arithmetic number, because the mean of its divisors is an integer number (2028868973091).

Almost surely, 2^{4057737946181} is an apocalyptic number.

It is an amenable number.

4057737946181 is a deficient number, since it is larger than the sum of its proper divisors (1).

4057737946181 is an equidigital number, since it uses as much as digits as its factorization.

4057737946181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35562240, while the sum is 62.

The spelling of 4057737946181 in words is "four trillion, fifty-seven billion, seven hundred thirty-seven million, nine hundred forty-six thousand, one hundred eighty-one".