4440000004440 has 1024 divisors, whose sum is σ = 19334633472000. Its totient is φ = 784985333760.

The previous prime is 4440000004439. The next prime is 4440000004519. The reversal of 4440000004440 is 444000000444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4440000004440.

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 255 ways as a sum of consecutive naturals, for example, 84418071 + ... + 84470649.

It is an arithmetic number, because the mean of its divisors is an integer number (18881478000).

Almost surely, 2^{4440000004440} is an apocalyptic number.

4440000004440 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 4440000004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9667316736000).

4440000004440 is an abundant number, since it is smaller than the sum of its proper divisors (14894633467560).

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

4440000004440 is a wasteful number, since it uses less digits than its factorization.

4440000004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52680 (or 52676 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 4440000004440 its reverse (444000000444), we get a palindrome (4884000004884).

It can be divided in two parts, 4440000004 and 440, that added together give a palindrome (4440000444).

The spelling of 4440000004440 in words is "four trillion, four hundred forty billion, four thousand, four hundred forty".