4118047626257 has 2 divisors, whose sum is σ = 4118047626258. Its totient is φ = 4118047626256.

The previous prime is 4118047626223. The next prime is 4118047626263. The reversal of 4118047626257 is 7526267408114.

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., 2933790034561 + 1184257591696 = 1712831^2 + 1088236^2 .

It is a cyclic number.

It is not a de Polignac number, because 4118047626257 - 2¹⁴ = 4118047609873 is a prime.

It is a super-4 number, since 4×4118047626257⁴ (a number of 52 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4118047626199 and 4118047626208.

It is not a weakly prime, because it can be changed into another prime (4118047626457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2059023813128 + 2059023813129.

It is an arithmetic number, because the mean of its divisors is an integer number (2059023813129).

Almost surely, 2^{4118047626257} is an apocalyptic number.

It is an amenable number.

4118047626257 is a deficient number, since it is larger than the sum of its proper divisors (1).

4118047626257 is an equidigital number, since it uses as much as digits as its factorization.

4118047626257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4515840, while the sum is 53.

The spelling of 4118047626257 in words is "four trillion, one hundred eighteen billion, forty-seven million, six hundred twenty-six thousand, two hundred fifty-seven".