4140425657 has 2 divisors, whose sum is σ = 4140425658. Its totient is φ = 4140425656.

The previous prime is 4140425623. The next prime is 4140425659. The reversal of 4140425657 is 7565240414.

It is a happy number.

4140425657 is digitally balanced in base 3, 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., 4073120041 + 67305616 = 63821^2 + 8204^2 .

It is a cyclic number.

It is not a de Polignac number, because 4140425657 - 2¹⁶ = 4140360121 is a prime.

It is a super-2 number, since 2×4140425657² = 34286249242287763298, which contains 22 as substring.

Together with 4140425659, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4140425657.

It is not a weakly prime, because it can be changed into another prime (4140425659) 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, 2070212828 + 2070212829.

It is an arithmetic number, because the mean of its divisors is an integer number (2070212829).

Almost surely, 2^4140425657 is an apocalyptic number.

It is an amenable number.

4140425657 is a deficient number, since it is larger than the sum of its proper divisors (1).

4140425657 is an equidigital number, since it uses as much as digits as its factorization.

4140425657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 134400, while the sum is 38.

The square root of 4140425657 is about 64346.1394102241. The cubic root of 4140425657 is about 1605.7638024361.

The spelling of 4140425657 in words is "four billion, one hundred forty million, four hundred twenty-five thousand, six hundred fifty-seven".