4164729912 has 192 divisors, whose sum is σ = 13771929600. Its totient is φ = 1162123200.

The previous prime is 4164729901. The next prime is 4164729929. The reversal of 4164729912 is 2199274614.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 450537 + ... + 459687.

It is an arithmetic number, because the mean of its divisors is an integer number (71728800).

Almost surely, 2^4164729912 is an apocalyptic number.

4164729912 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4164729912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6885964800).

4164729912 is an abundant number, since it is smaller than the sum of its proper divisors (9607199688).

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

4164729912 is a wasteful number, since it uses less digits than its factorization.

4164729912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9223 (or 9206 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 4164729912 is about 64534.7186559297. The cubic root of 4164729912 is about 1608.8996135598.

The spelling of 4164729912 in words is "four billion, one hundred sixty-four million, seven hundred twenty-nine thousand, nine hundred twelve".