4044404014040 has 128 divisors (see below), whose sum is σ = 10354041432000. Its totient is φ = 1409462581248.

The previous prime is 4044404014037. The next prime is 4044404014051. The reversal of 4044404014040 is 404104044404.

It is a junction number, because it is equal to n+sod(n) for n = 4044404013994 and 4044404014012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1896842 + ... + 3418598.

Almost surely, 2^{4044404014040} is an apocalyptic number.

4044404014040 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 4044404014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5177020716000).

4044404014040 is an abundant number, since it is smaller than the sum of its proper divisors (6309637417960).

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

4044404014040 is a wasteful number, since it uses less digits than its factorization.

4044404014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522069 (or 1522065 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 4044404014040 its reverse (404104044404), we get a palindrome (4448508058444).

The spelling of 4044404014040 in words is "four trillion, forty-four billion, four hundred four million, fourteen thousand, forty".