4404442003344 has 120 divisors (see below), whose sum is σ = 12451129783040. Its totient is φ = 1453293467136.

The previous prime is 4404442003321. The next prime is 4404442003349. The reversal of 4404442003344 is 4433002444044.

4404442003344 is a `hidden beast` number, since 4 + 4 + 0 + 444 + 200 + 3 + 3 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4404442003299 and 4404442003308.

It is not an unprimeable number, because it can be changed into a prime (4404442003349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36619497 + ... + 36739575.

Almost surely, 2^{4404442003344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4404442003344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6225564891520).

4404442003344 is an abundant number, since it is smaller than the sum of its proper divisors (8046687779696).

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

4404442003344 is a wasteful number, since it uses less digits than its factorization.

4404442003344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122669 (or 122660 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 4404442003344 its reverse (4433002444044), we get a palindrome (8837444447388).

The spelling of 4404442003344 in words is "four trillion, four hundred four billion, four hundred forty-two million, three thousand, three hundred forty-four".