4400332224 has 112 divisors (see below), whose sum is σ = 12351568896. Its totient is φ = 1377792000.

The previous prime is 4400332217. The next prime is 4400332243. The reversal of 4400332224 is 4222330044.

It is a Cunningham number, because it is equal to 66335²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4400332194 and 4400332203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2254449 + ... + 2256399.

Almost surely, 2^4400332224 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 4400332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6175784448).

4400332224 is an abundant number, since it is smaller than the sum of its proper divisors (7951236672).

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

4400332224 is a wasteful number, since it uses less digits than its factorization.

4400332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 4400332224 is about 66334.9999924625. Note that the first 5 decimals coincide. The cubic root of 4400332224 is about 1638.6837823133.

Adding to 4400332224 its reverse (4222330044), we get a palindrome (8622662268).

The spelling of 4400332224 in words is "four billion, four hundred million, three hundred thirty-two thousand, two hundred twenty-four".