4164391224 has 192 divisors, whose sum is σ = 14042246400. Its totient is φ = 1138027968.

The previous prime is 4164391223. The next prime is 4164391229. The reversal of 4164391224 is 4221934614.

4164391224 is a `hidden beast` number, since 4 + 1 + 643 + 9 + 1 + 2 + 2 + 4 = 666.

4164391224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164391223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234879 + ... + 251985.

It is an arithmetic number, because the mean of its divisors is an integer number (73136700).

Almost surely, 2^4164391224 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 4164391224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021123200).

4164391224 is an abundant number, since it is smaller than the sum of its proper divisors (9877855176).

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

4164391224 is a wasteful number, since it uses less digits than its factorization.

4164391224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17159 (or 17142 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4164391224 is about 64532.0945266772. The cubic root of 4164391224 is about 1608.8559989057.

The spelling of 4164391224 in words is "four billion, one hundred sixty-four million, three hundred ninety-one thousand, two hundred twenty-four".