444443111240 has 128 divisors (see below), whose sum is σ = 1033565702400. Its totient is φ = 171916293120.

The previous prime is 444443111219. The next prime is 444443111257. The reversal of 444443111240 is 42111344444.

It is a junction number, because it is equal to n+sod(n) for n = 444443111197 and 444443111206.

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, 81114821 + ... + 81120299.

It is an arithmetic number, because the mean of its divisors is an integer number (8074732050).

Almost surely, 2^444443111240 is an apocalyptic number.

444443111240 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 444443111240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516782851200).

444443111240 is an abundant number, since it is smaller than the sum of its proper divisors (589122591160).

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

444443111240 is a wasteful number, since it uses less digits than its factorization.

444443111240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6087 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 444443111240 its reverse (42111344444), we get a palindrome (486554455684).

The spelling of 444443111240 in words is "four hundred forty-four billion, four hundred forty-three million, one hundred eleven thousand, two hundred forty".