4004440440440 has 32 divisors (see below), whose sum is σ = 9829081082160. Its totient is φ = 1456160160000.

The previous prime is 4004440440397. The next prime is 4004440440457. The reversal of 4004440440440 is 440440444004.

It is a junction number, because it is equal to n+sod(n) for n = 4004440440397 and 4004440440406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4550500061 + ... + 4550500940.

Almost surely, 2^{4004440440440} is an apocalyptic number.

4004440440440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004440440440 is an abundant number, since it is smaller than the sum of its proper divisors (5824640641720).

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

4004440440440 is a wasteful number, since it uses less digits than its factorization.

4004440440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9101001023 (or 9101001019 counting only the distinct ones).

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

Adding to 4004440440440 its reverse (440440444004), we get a palindrome (4444880884444).

The spelling of 4004440440440 in words is "four trillion, four billion, four hundred forty million, four hundred forty thousand, four hundred forty".