4442032224 has 288 divisors, whose sum is σ = 15175480320. Its totient is φ = 1251873792.

The previous prime is 4442032219. The next prime is 4442032267. The reversal of 4442032224 is 4222302444.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4299612 + ... + 4300644.

It is an arithmetic number, because the mean of its divisors is an integer number (52692640).

Almost surely, 2^4442032224 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 4442032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7587740160).

4442032224 is an abundant number, since it is smaller than the sum of its proper divisors (10733448096).

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

4442032224 is a wasteful number, since it uses less digits than its factorization.

4442032224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4442032224 is about 66648.5725578575. The cubic root of 4442032224 is about 1643.8438766974.

Adding to 4442032224 its reverse (4222302444), we get a palindrome (8664334668).

The spelling of 4442032224 in words is "four billion, four hundred forty-two million, thirty-two thousand, two hundred twenty-four".