4444400224 has 48 divisors (see below), whose sum is σ = 9725501520. Its totient is φ = 1982056960.

The previous prime is 4444400197. The next prime is 4444400227. The reversal of 4444400224 is 4220044444.

It is a junction number, because it is equal to n+sod(n) for n = 4444400192 and 4444400201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444400227) 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 7 ways as a sum of consecutive naturals, for example, 100459 + ... + 137770.

It is an arithmetic number, because the mean of its divisors is an integer number (202614615).

Almost surely, 2^4444400224 is an apocalyptic number.

4444400224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4444400224 is an abundant number, since it is smaller than the sum of its proper divisors (5281101296).

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

4444400224 is a wasteful number, since it uses less digits than its factorization.

4444400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238303 (or 238295 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 4444400224 is about 66666.3350125084. The cubic root of 4444400224 is about 1644.1359300192.

Adding to 4444400224 its reverse (4220044444), we get a palindrome (8664444668).

The spelling of 4444400224 in words is "four billion, four hundred forty-four million, four hundred thousand, two hundred twenty-four".