4134362166 has 96 divisors (see below), whose sum is σ = 10187244288. Its totient is φ = 1200640320.

The previous prime is 4134362147. The next prime is 4134362173. The reversal of 4134362166 is 6612634314.

4134362166 is a `hidden beast` number, since 4 + 1 + 3 + 436 + 216 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4134362166.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486631 + ... + 495053.

It is an arithmetic number, because the mean of its divisors is an integer number (106117128).

Almost surely, 2^4134362166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134362166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5093622144).

4134362166 is an abundant number, since it is smaller than the sum of its proper divisors (6052882122).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4134362166 is a wasteful number, since it uses less digits than its factorization.

4134362166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8546 (or 8543 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 4134362166 is about 64299.0059487703. The cubic root of 4134362166 is about 1604.9795601089.

The spelling of 4134362166 in words is "four billion, one hundred thirty-four million, three hundred sixty-two thousand, one hundred sixty-six".