441540005344000 has 144 divisors (see below), whose sum is σ = 1100044581513696. Its totient is φ = 176597819904000.

The previous prime is 441540005343989. The next prime is 441540005344003. The reversal of 441540005344000 is 443500045144.

It is not an unprimeable number, because it can be changed into a prime (441540005344003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312286647 + ... + 313697353.

It is an arithmetic number, because the mean of its divisors is an integer number (7639198482734).

Almost surely, 2^{441540005344000} is an apocalyptic number.

441540005344000 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 441540005344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550022290756848).

441540005344000 is an abundant number, since it is smaller than the sum of its proper divisors (658504576169696).

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

441540005344000 is an equidigital number, since it uses as much as digits as its factorization.

441540005344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420519 (or 1420495 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 441540005344000 its reverse (443500045144), we get a palindrome (441983505389144).

The spelling of 441540005344000 in words is "four hundred forty-one trillion, five hundred forty billion, five million, three hundred forty-four thousand".