4444441040 has 80 divisors (see below), whose sum is σ = 11142786816. Its totient is φ = 1638873600.

The previous prime is 4444441033. The next prime is 4444441093. The reversal of 4444441040 is 401444444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4444440994 and 4444441012.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 945095 + ... + 949785.

Almost surely, 2^4444441040 is an apocalyptic number.

4444441040 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 4444441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571393408).

4444441040 is an abundant number, since it is smaller than the sum of its proper divisors (6698345776).

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

4444441040 is a wasteful number, since it uses less digits than its factorization.

4444441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628 (or 5622 counting only the distinct ones).

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

The square root of 4444441040 is about 66666.6411333284. The cubic root of 4444441040 is about 1644.1409630828.

Adding to 4444441040 its reverse (401444444), we get a palindrome (4845885484).

The spelling of 4444441040 in words is "four billion, four hundred forty-four million, four hundred forty-one thousand, forty".