4212264168 has 128 divisors (see below), whose sum is σ = 13389235200. Its totient is φ = 1201977792.

The previous prime is 4212264163. The next prime is 4212264187. The reversal of 4212264168 is 8614622124.

4212264168 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 2 + 641 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4212264163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1793571 + ... + 1795917.

It is an arithmetic number, because the mean of its divisors is an integer number (104603400).

Almost surely, 2^4212264168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4212264168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6694617600).

4212264168 is an abundant number, since it is smaller than the sum of its proper divisors (9176971032).

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

4212264168 is a wasteful number, since it uses less digits than its factorization.

4212264168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3546 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 4212264168 is about 64901.9581214619. The cubic root of 4212264168 is about 1614.9975453256.

The spelling of 4212264168 in words is "four billion, two hundred twelve million, two hundred sixty-four thousand, one hundred sixty-eight".