444040040444 has 192 divisors, whose sum is σ = 1055685076992. Its totient is φ = 157811328000.

The previous prime is 444040040419. The next prime is 444040040447.

444040040444 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 444040040444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444040040447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 397528574 + ... + 397529690.

It is an arithmetic number, because the mean of its divisors is an integer number (5498359776).

Almost surely, 2^444040040444 is an apocalyptic number.

444040040444 is a gapful number since it is divisible by the number (44) 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 444040040444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527842538496).

444040040444 is an abundant number, since it is smaller than the sum of its proper divisors (611645036548).

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

444040040444 is a wasteful number, since it uses less digits than its factorization.

444040040444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 4440400 and 40444, that added together give a palindrome (4480844).

The spelling of 444040040444 in words is "four hundred forty-four billion, forty million, forty thousand, four hundred forty-four".