4440408040444 has 24 divisors (see below), whose sum is σ = 8118260539200. Its totient is φ = 2122421044800.

The previous prime is 4440408040421. The next prime is 4440408040451.

It is a happy number.

4440408040444 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4440408040444³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4440408040397 and 4440408040406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189490164 + ... + 189513595.

It is an arithmetic number, because the mean of its divisors is an integer number (338260855800).

Almost surely, 2^{4440408040444} is an apocalyptic number.

It is an amenable number.

4440408040444 is a deficient number, since it is larger than the sum of its proper divisors (3677852498756).

4440408040444 is a wasteful number, since it uses less digits than its factorization.

4440408040444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379003893 (or 379003891 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 40.

The spelling of 4440408040444 in words is "four trillion, four hundred forty billion, four hundred eight million, forty thousand, four hundred forty-four".