441840144 has 80 divisors (see below), whose sum is σ = 1174478400. Its totient is φ = 143075328.

The previous prime is 441840137. The next prime is 441840163. The reversal of 441840144 is 441048144.

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, 251172 + ... + 252924.

It is an arithmetic number, because the mean of its divisors is an integer number (14680980).

Almost surely, 2^441840144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441840144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587239200).

441840144 is an abundant number, since it is smaller than the sum of its proper divisors (732638256).

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

441840144 is a wasteful number, since it uses less digits than its factorization.

441840144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 441840144 is about 21019.9939105605. The cubic root of 441840144 is about 761.6493174905.

Adding to 441840144 its reverse (441048144), we get a palindrome (882888288).

The spelling of 441840144 in words is "four hundred forty-one million, eight hundred forty thousand, one hundred forty-four".