4004404440440 has 64 divisors (see below), whose sum is σ = 9049825072800. Its totient is φ = 1594675219968.

The previous prime is 4004404440427. The next prime is 4004404440451. The reversal of 4004404440440 is 440444044004.

4004404440440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4004404440397 and 4004404440406.

It is a congruent number.

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, 13470287 + ... + 13764353.

Almost surely, 2^{4004404440440} is an apocalyptic number.

4004404440440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004404440440 is an abundant number, since it is smaller than the sum of its proper divisors (5045420632360).

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

4004404440440 is a wasteful number, since it uses less digits than its factorization.

4004404440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295584 (or 295580 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 4004404440440 its reverse (440444044004), we get a palindrome (4444848484444).

The spelling of 4004404440440 in words is "four trillion, four billion, four hundred four million, four hundred forty thousand, four hundred forty".