4134217257 has 12 divisors (see below), whose sum is σ = 6164281344. Its totient is φ = 2667236760.

The previous prime is 4134217211. The next prime is 4134217279. The reversal of 4134217257 is 7527124314.

4134217257 is a `hidden beast` number, since 413 + 4 + 217 + 25 + 7 = 666.

It is not a de Polignac number, because 4134217257 - 2¹⁵ = 4134184489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4134217057) 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 in 11 ways as a sum of consecutive naturals, for example, 7408713 + ... + 7409270.

It is an arithmetic number, because the mean of its divisors is an integer number (513690112).

Almost surely, 2^4134217257 is an apocalyptic number.

It is an amenable number.

4134217257 is a deficient number, since it is larger than the sum of its proper divisors (2030064087).

4134217257 is a wasteful number, since it uses less digits than its factorization.

4134217257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14818020 (or 14818017 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 4134217257 is about 64297.8791018802. The cubic root of 4134217257 is about 1604.9608084296.

The spelling of 4134217257 in words is "four billion, one hundred thirty-four million, two hundred seventeen thousand, two hundred fifty-seven".