4014101016257 has 2 divisors, whose sum is σ = 4014101016258. Its totient is φ = 4014101016256.

The previous prime is 4014101016229. The next prime is 4014101016269. The reversal of 4014101016257 is 7526101014104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3368458232896 + 645642783361 = 1835336^2 + 803519^2 .

It is a cyclic number.

It is not a de Polignac number, because 4014101016257 - 2⁸ = 4014101016001 is a prime.

It is a super-2 number, since 2×4014101016257² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4014101015257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2007050508128 + 2007050508129.

It is an arithmetic number, because the mean of its divisors is an integer number (2007050508129).

Almost surely, 2^{4014101016257} is an apocalyptic number.

It is an amenable number.

4014101016257 is a deficient number, since it is larger than the sum of its proper divisors (1).

4014101016257 is an equidigital number, since it uses as much as digits as its factorization.

4014101016257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6720, while the sum is 32.

The spelling of 4014101016257 in words is "four trillion, fourteen billion, one hundred one million, sixteen thousand, two hundred fifty-seven".