4404004004440 has 32 divisors (see below), whose sum is σ = 9972123731280. Its totient is φ = 1750381206912.

The previous prime is 4404004004431. The next prime is 4404004004441. The reversal of 4404004004440 is 444004004044.

It is a super-2 number, since 2×4404004004440² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4404004004399 and 4404004004408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404004004441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 350630982 + ... + 350643541.

Almost surely, 2^{4404004004440} is an apocalyptic number.

4404004004440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4404004004440 is an abundant number, since it is smaller than the sum of its proper divisors (5568119726840).

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

4404004004440 is a wasteful number, since it uses less digits than its factorization.

4404004004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701274691 (or 701274687 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4404004004440 its reverse (444004004044), we get a palindrome (4848008008484).

The spelling of 4404004004440 in words is "four trillion, four hundred four billion, four million, four thousand, four hundred forty".