4404400000440 has 64 divisors (see below), whose sum is σ = 14414400005760. Its totient is φ = 1067733333120.

The previous prime is 4404400000421. The next prime is 4404400000477. The reversal of 4404400000440 is 440000044044.

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 4404400000440.

It is a congruent number.

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, 1668332014 + ... + 1668334653.

It is an arithmetic number, because the mean of its divisors is an integer number (225225000090).

Almost surely, 2^{4404400000440} is an apocalyptic number.

4404400000440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4404400000440 is an abundant number, since it is smaller than the sum of its proper divisors (10010000005320).

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

4404400000440 is a wasteful number, since it uses less digits than its factorization.

4404400000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336666692 (or 3336666688 counting only the distinct ones).

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

Adding to 4404400000440 its reverse (440000044044), we get a palindrome (4844400044484).

The spelling of 4404400000440 in words is "four trillion, four hundred four billion, four hundred million, four hundred forty", and thus it is an aban number.