4164094720 has 144 divisors (see below), whose sum is σ = 10725603840. Its totient is φ = 1543974912.

The previous prime is 4164094703. The next prime is 4164094723. The reversal of 4164094720 is 274904614.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4164094720.

It is not an unprimeable number, because it can be changed into a prime (4164094723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1141219 + ... + 1144861.

It is an arithmetic number, because the mean of its divisors is an integer number (74483360).

Almost surely, 2^4164094720 is an apocalyptic number.

4164094720 is a gapful number since it is divisible by the number (40) 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 4164094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362801920).

4164094720 is an abundant number, since it is smaller than the sum of its proper divisors (6561509120).

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

4164094720 is a wasteful number, since it uses less digits than its factorization.

4164094720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 4164094720 is about 64529.7971482942. The cubic root of 4164094720 is about 1608.8178145681.

The spelling of 4164094720 in words is "four billion, one hundred sixty-four million, ninety-four thousand, seven hundred twenty".