4444224004224 has 48 divisors (see below), whose sum is σ = 12788717515470. Its totient is φ = 1481408001024.

The previous prime is 4444224004217. The next prime is 4444224004229. The reversal of 4444224004224 is 4224004224444.

4444224004224 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 22 + 400 + 4 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2311105333824 + 2133118670400 = 1520232^2 + 1460520^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×4444224004224³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4444224004229) 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 5 ways as a sum of consecutive naturals, for example, 1928915517 + ... + 1928917820.

Almost surely, 2^{4444224004224} is an apocalyptic number.

It is an amenable number.

4444224004224 is an abundant number, since it is smaller than the sum of its proper divisors (8344493511246).

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

4444224004224 is a wasteful number, since it uses less digits than its factorization.

4444224004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3857833357 (or 3857833342 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 4444224004224 its reverse (4224004224444), we get a palindrome (8668228228668).

The spelling of 4444224004224 in words is "four trillion, four hundred forty-four billion, two hundred twenty-four million, four thousand, two hundred twenty-four".