4404000000040 has 64 divisors (see below), whose sum is σ = 9942469785360. Its totient is φ = 1755655249920.

The previous prime is 4404000000031. The next prime is 4404000000107. The reversal of 4404000000040 is 400000004044.

It can be written as a sum of positive squares in 8 ways, for example, as 78190699876 + 4325809300164 = 279626^2 + 2079858^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4403999999960 and 4404000000023.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26193522 + ... + 26361118.

Almost surely, 2^{4404000000040} is an apocalyptic number.

4404000000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4404000000040 is an abundant number, since it is smaller than the sum of its proper divisors (5538469785320).

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

4404000000040 is a wasteful number, since it uses less digits than its factorization.

4404000000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169822 (or 169818 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 4404000000040 its reverse (400000004044), we get a palindrome (4804000004084).

The spelling of 4404000000040 in words is "four trillion, four hundred four billion, forty", and thus it is an aban number.