4441321144000 has 448 divisors, whose sum is σ = 12248570880000. Its totient is φ = 1584188928000.

The previous prime is 4441321143989. The next prime is 4441321144021. The reversal of 4441321144000 is 4411231444.

It is a self number, because there is not a number n which added to its sum of digits gives 4441321144000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2962855251 + ... + 2962856749.

It is an arithmetic number, because the mean of its divisors is an integer number (27340560000).

Almost surely, 2^{4441321144000} is an apocalyptic number.

4441321144000 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 4441321144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124285440000).

4441321144000 is an abundant number, since it is smaller than the sum of its proper divisors (7807249736000).

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

4441321144000 is a wasteful number, since it uses less digits than its factorization.

4441321144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 4441321144000 its reverse (4411231444), we get a palindrome (4445732375444).

The spelling of 4441321144000 in words is "four trillion, four hundred forty-one billion, three hundred twenty-one million, one hundred forty-four thousand".