441025520144 has 80 divisors (see below), whose sum is σ = 955206362880. Its totient is φ = 195563472000.

The previous prime is 441025520129. The next prime is 441025520149.

441025520144 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 441025520144.

It is not an unprimeable number, because it can be changed into a prime (441025520149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1198199 + ... + 1522409.

It is an arithmetic number, because the mean of its divisors is an integer number (11940079536).

Almost surely, 2^441025520144 is an apocalyptic number.

441025520144 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 441025520144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477603181440).

441025520144 is an abundant number, since it is smaller than the sum of its proper divisors (514180842736).

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

441025520144 is a wasteful number, since it uses less digits than its factorization.

441025520144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324420 (or 324414 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

It can be divided in two parts, 441025 and 520144, that added together give a palindrome (961169).

The spelling of 441025520144 in words is "four hundred forty-one billion, twenty-five million, five hundred twenty thousand, one hundred forty-four".