4400224032 has 96 divisors (see below), whose sum is σ = 11676268800. Its totient is φ = 1450867968.

The previous prime is 4400224021. The next prime is 4400224039. The reversal of 4400224032 is 2304220044.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4400224039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5590743 + ... + 5591529.

It is an arithmetic number, because the mean of its divisors is an integer number (121627800).

Almost surely, 2^4400224032 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 4400224032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5838134400).

4400224032 is an abundant number, since it is smaller than the sum of its proper divisors (7276044768).

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

4400224032 is a wasteful number, since it uses less digits than its factorization.

4400224032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 4400224032 is about 66334.1844903516. The cubic root of 4400224032 is about 1638.6703519691.

Adding to 4400224032 its reverse (2304220044), we get a palindrome (6704444076).

The spelling of 4400224032 in words is "four billion, four hundred million, two hundred twenty-four thousand, thirty-two".