4164121701 has 6 divisors (see below), whose sum is σ = 6014842470. Its totient is φ = 2776081128.

The previous prime is 4164121691. The next prime is 4164121721. The reversal of 4164121701 is 1071214614.

4164121701 is a `hidden beast` number, since 4 + 1 + 641 + 2 + 17 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3865730625 + 298391076 = 62175^2 + 17274^2 .

It is not a de Polignac number, because 4164121701 - 2⁹ = 4164121189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164121721) 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 5 ways as a sum of consecutive naturals, for example, 231340086 + ... + 231340103.

It is an arithmetic number, because the mean of its divisors is an integer number (1002473745).

Almost surely, 2^4164121701 is an apocalyptic number.

It is an amenable number.

4164121701 is a deficient number, since it is larger than the sum of its proper divisors (1850720769).

4164121701 is a wasteful number, since it uses less digits than its factorization.

4164121701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462680195 (or 462680192 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 4164121701 is about 64530.0062064153. The cubic root of 4164121701 is about 1608.8212893065.

The spelling of 4164121701 in words is "four billion, one hundred sixty-four million, one hundred twenty-one thousand, seven hundred one".