4404404000040 has 128 divisors (see below), whose sum is σ = 14422100699520. Its totient is φ = 1067164851200.

The previous prime is 4404403999991. The next prime is 4404404000053. The reversal of 4404404000040 is 400004044044.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1588810 + ... + 3366470.

It is an arithmetic number, because the mean of its divisors is an integer number (112672661715).

Almost surely, 2^{4404404000040} is an apocalyptic number.

4404404000040 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 4404404000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211050349760).

4404404000040 is an abundant number, since it is smaller than the sum of its proper divisors (10017696699480).

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

4404404000040 is a wasteful number, since it uses less digits than its factorization.

4404404000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779563 (or 1779559 counting only the distinct ones).

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

Adding to 4404404000040 its reverse (400004044044), we get a palindrome (4804408044084).

The spelling of 4404404000040 in words is "four trillion, four hundred four billion, four hundred four million, forty", and thus it is an aban number.