4404408004040 has 64 divisors (see below), whose sum is σ = 10917857574720. Its totient is φ = 1585745440000.

The previous prime is 4404408003973. The next prime is 4404408004063. The reversal of 4404408004040 is 404008044044.

It is a junction number, because it is equal to n+sod(n) for n = 4404408003988 and 4404408004006.

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, 49510106 + ... + 49598985.

It is an arithmetic number, because the mean of its divisors is an integer number (170591524605).

Almost surely, 2^{4404408004040} is an apocalyptic number.

4404408004040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4404408004040 is an abundant number, since it is smaller than the sum of its proper divisors (6513449570680).

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

4404408004040 is a wasteful number, since it uses less digits than its factorization.

4404408004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99109214 (or 99109210 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

The spelling of 4404408004040 in words is "four trillion, four hundred four billion, four hundred eight million, four thousand, forty".