4124134314257 has 2 divisors, whose sum is σ = 4124134314258. Its totient is φ = 4124134314256.

The previous prime is 4124134314203. The next prime is 4124134314281. The reversal of 4124134314257 is 7524134314214.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3782107015696 + 342027298561 = 1944764^2 + 584831^2 .

It is a cyclic number.

It is not a de Polignac number, because 4124134314257 - 2²⁸ = 4123865878801 is a prime.

It is not a weakly prime, because it can be changed into another prime (4124134514257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2062067157128 + 2062067157129.

It is an arithmetic number, because the mean of its divisors is an integer number (2062067157129).

Almost surely, 2^{4124134314257} is an apocalyptic number.

It is an amenable number.

4124134314257 is a deficient number, since it is larger than the sum of its proper divisors (1).

4124134314257 is an equidigital number, since it uses as much as digits as its factorization.

4124134314257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 322560, while the sum is 41.

The spelling of 4124134314257 in words is "four trillion, one hundred twenty-four billion, one hundred thirty-four million, three hundred fourteen thousand, two hundred fifty-seven".