4444220224444 has 576 divisors, whose sum is σ = 11310625751040. Its totient is φ = 1484026790400.

The previous prime is 4444220224391. The next prime is 4444220224459.

4444220224444 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4444220224444³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4444220224397 and 4444220224406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3463927827 + ... + 3463929109.

It is an arithmetic number, because the mean of its divisors is an integer number (19636503040).

Almost surely, 2^{4444220224444} is an apocalyptic number.

4444220224444 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 4444220224444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5655312875520).

4444220224444 is an abundant number, since it is smaller than the sum of its proper divisors (6866405526596).

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

4444220224444 is a wasteful number, since it uses less digits than its factorization.

4444220224444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 40.

It can be divided in two parts, 4444220 and 224444, that added together give a palindrome (4668664).

The spelling of 4444220224444 in words is "four trillion, four hundred forty-four billion, two hundred twenty million, two hundred twenty-four thousand, four hundred forty-four".