4164832224 has 360 divisors, whose sum is σ = 14589960840. Its totient is φ = 1123766784.

The previous prime is 4164832219. The next prime is 4164832247. The reversal of 4164832224 is 4222384614.

4164832224 is a `hidden beast` number, since 4 + 1 + 648 + 3 + 2 + 2 + 2 + 4 = 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 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 59 ways as a sum of consecutive naturals, for example, 13138114 + ... + 13138430.

It is an arithmetic number, because the mean of its divisors is an integer number (40527669).

Almost surely, 2^4164832224 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 4164832224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7294980420).

4164832224 is an abundant number, since it is smaller than the sum of its proper divisors (10425128616).

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

4164832224 is a wasteful number, since it uses less digits than its factorization.

4164832224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 348 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 4164832224 is about 64535.5113406565. The cubic root of 4164832224 is about 1608.9127883549.

The spelling of 4164832224 in words is "four billion, one hundred sixty-four million, eight hundred thirty-two thousand, two hundred twenty-four".