4440004004440 has 128 divisors (see below), whose sum is σ = 10754070624000. Its totient is φ = 1646493101568.

The previous prime is 4440004004419. The next prime is 4440004004489. The reversal of 4440004004440 is 444004000444.

It is a junction number, because it is equal to n+sod(n) for n = 4440004004399 and 4440004004408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2188567 + ... + 3697273.

It is an arithmetic number, because the mean of its divisors is an integer number (84016176750).

Almost surely, 2^{4440004004440} is an apocalyptic number.

4440004004440 is a gapful number since it is divisible by the number (40) 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 4440004004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377035312000).

4440004004440 is an abundant number, since it is smaller than the sum of its proper divisors (6314066619560).

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

4440004004440 is a wasteful number, since it uses less digits than its factorization.

4440004004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508849 (or 1508845 counting only the distinct ones).

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

Adding to 4440004004440 its reverse (444004000444), we get a palindrome (4884008004884).

The spelling of 4440004004440 in words is "four trillion, four hundred forty billion, four million, four thousand, four hundred forty".