4441144224 has 192 divisors, whose sum is σ = 12973105152. Its totient is φ = 1319116800.

The previous prime is 4441144219. The next prime is 4441144241. The reversal of 4441144224 is 4224411444.

It is a super-3 number, since 3×4441144224³ (a number of 30 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4441144191 and 4441144200.

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, 19564399 + ... + 19564625.

It is an arithmetic number, because the mean of its divisors is an integer number (67568256).

Almost surely, 2^4441144224 is an apocalyptic number.

4441144224 is a gapful number since it is divisible by the number (44) 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 4441144224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486552576).

4441144224 is an abundant number, since it is smaller than the sum of its proper divisors (8531960928).

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

4441144224 is a wasteful number, since it uses less digits than its factorization.

4441144224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 531 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

The square root of 4441144224 is about 66641.9104167940. The cubic root of 4441144224 is about 1643.7343299426.

Adding to 4441144224 its reverse (4224411444), we get a palindrome (8665555668).

The spelling of 4441144224 in words is "four billion, four hundred forty-one million, one hundred forty-four thousand, two hundred twenty-four".