4440224000 has 288 divisors, whose sum is σ = 11925513600. Its totient is φ = 1642291200.

The previous prime is 4440223987. The next prime is 4440224011. The reversal of 4440224000 is 4220444.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40735946 + ... + 40736054.

Almost surely, 2^4440224000 is an apocalyptic number.

4440224000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4440224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5962756800).

4440224000 is an abundant number, since it is smaller than the sum of its proper divisors (7485289600).

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

4440224000 is a wasteful number, since it uses less digits than its factorization.

4440224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4440224000 is about 66635.0058152620. The cubic root of 4440224000 is about 1643.6207925156.

Adding to 4440224000 its reverse (4220444), we get a palindrome (4444444444).

The spelling of 4440224000 in words is "four billion, four hundred forty million, two hundred twenty-four thousand".