4444330334444 has 144 divisors (see below), whose sum is σ = 10523839706688. Its totient is φ = 1598040576000.

The previous prime is 4444330334443. The next prime is 4444330334449.

4444330334444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4444330334395 and 4444330334404.

It is not an unprimeable number, because it can be changed into a prime (4444330334443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398196224 + ... + 398207384.

Almost surely, 2^{4444330334444} is an apocalyptic number.

4444330334444 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 4444330334444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5261919853344).

4444330334444 is an abundant number, since it is smaller than the sum of its proper divisors (6079509372244).

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

4444330334444 is a wasteful number, since it uses less digits than its factorization.

4444330334444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20248 (or 20235 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 44.

It can be divided in two parts, 4444330 and 334444, that added together give a palindrome (4778774).

The spelling of 4444330334444 in words is "four trillion, four hundred forty-four billion, three hundred thirty million, three hundred thirty-four thousand, four hundred forty-four".