4044404440440 has 768 divisors, whose sum is σ = 16665835979520. Its totient is φ = 827714764800.

The previous prime is 4044404440327. The next prime is 4044404440441. The reversal of 4044404440440 is 440444044404.

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 = 4044404440395 and 4044404440404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4044404440441) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 408479490 + ... + 408489390.

It is an arithmetic number, because the mean of its divisors is an integer number (21700307265).

Almost surely, 2^{4044404440440} is an apocalyptic number.

4044404440440 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 4044404440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8332917989760).

4044404440440 is an abundant number, since it is smaller than the sum of its proper divisors (12621431539080).

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

4044404440440 is a wasteful number, since it uses less digits than its factorization.

4044404440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10312 (or 10305 counting only the distinct ones).

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

Adding to 4044404440440 its reverse (440444044404), we get a palindrome (4484848484844).

It can be divided in two parts, 4044404 and 440440, that added together give a palindrome (4484844).

The spelling of 4044404440440 in words is "four trillion, forty-four billion, four hundred four million, four hundred forty thousand, four hundred forty".