4440414404104 has 64 divisors (see below), whose sum is σ = 9759098845440. Its totient is φ = 1854362557440.

The previous prime is 4440414404047. The next prime is 4440414404141. The reversal of 4440414404104 is 4014044140444.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4440414404104.

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 15 ways as a sum of consecutive naturals, for example, 714652 + ... + 3064564.

It is an arithmetic number, because the mean of its divisors is an integer number (152485919460).

Almost surely, 2^{4440414404104} 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 4440414404104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4879549422720).

4440414404104 is an abundant number, since it is smaller than the sum of its proper divisors (5318684441336).

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

4440414404104 is a wasteful number, since it uses less digits than its factorization.

4440414404104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350790 (or 2350786 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 34.

Adding to 4440414404104 its reverse (4014044140444), we get a palindrome (8454458544548).

The spelling of 4440414404104 in words is "four trillion, four hundred forty billion, four hundred fourteen million, four hundred four thousand, one hundred four".