4444404040440 has 1152 divisors, whose sum is σ = 19158165411840. Its totient is φ = 872636903424.

The previous prime is 4444404040387. The next prime is 4444404040459. The reversal of 4444404040440 is 440404044444.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4444404040395 and 4444404040404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 362417749 + ... + 362430011.

It is an arithmetic number, because the mean of its divisors is an integer number (16630351920).

Almost surely, 2^{4444404040440} is an apocalyptic number.

4444404040440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4444404040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9579082705920).

4444404040440 is an abundant number, since it is smaller than the sum of its proper divisors (14713761371400).

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

4444404040440 is a wasteful number, since it uses less digits than its factorization.

4444404040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12373 (or 12353 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 4444404040440 its reverse (440404044444), we get a palindrome (4884808084884).

The spelling of 4444404040440 in words is "four trillion, four hundred forty-four billion, four hundred four million, forty thousand, four hundred forty".