4135166217 has 48 divisors (see below), whose sum is σ = 7476094080. Its totient is φ = 2144192256.

The previous prime is 4135166209. The next prime is 4135166221. The reversal of 4135166217 is 7126615314.

4135166217 is a `hidden beast` number, since 4 + 13 + 5 + 16 + 621 + 7 = 666.

4135166217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4135166217 - 2³ = 4135166209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4135166117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5533 + ... + 91109.

It is an arithmetic number, because the mean of its divisors is an integer number (155751960).

Almost surely, 2^4135166217 is an apocalyptic number.

It is an amenable number.

4135166217 is a deficient number, since it is larger than the sum of its proper divisors (3340927863).

4135166217 is a wasteful number, since it uses less digits than its factorization.

4135166217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85662 (or 85659 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 4135166217 is about 64305.2580820573. The cubic root of 4135166217 is about 1605.0835988715.

The spelling of 4135166217 in words is "four billion, one hundred thirty-five million, one hundred sixty-six thousand, two hundred seventeen".