4057683104177 has 2 divisors, whose sum is σ = 4057683104178. Its totient is φ = 4057683104176.

The previous prime is 4057683104147. The next prime is 4057683104183. The reversal of 4057683104177 is 7714013867504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2128692672016 + 1928990432161 = 1459004^2 + 1388881^2 .

It is a cyclic number.

It is not a de Polignac number, because 4057683104177 - 2²⁶ = 4057615995313 is a prime.

It is not a weakly prime, because it can be changed into another prime (4057683104117) 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, 2028841552088 + 2028841552089.

It is an arithmetic number, because the mean of its divisors is an integer number (2028841552089).

Almost surely, 2^{4057683104177} is an apocalyptic number.

It is an amenable number.

4057683104177 is a deficient number, since it is larger than the sum of its proper divisors (1).

4057683104177 is an equidigital number, since it uses as much as digits as its factorization.

4057683104177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3951360, while the sum is 53.

The spelling of 4057683104177 in words is "four trillion, fifty-seven billion, six hundred eighty-three million, one hundred four thousand, one hundred seventy-seven".