441450504400 has 120 divisors (see below), whose sum is σ = 1105728291360. Its totient is φ = 169219115520.

The previous prime is 441450504379. The next prime is 441450504431. The reversal of 441450504400 is 4405054144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 669471 + ... + 1153729.

It is an arithmetic number, because the mean of its divisors is an integer number (9214402428).

Almost surely, 2^441450504400 is an apocalyptic number.

441450504400 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 441450504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552864145680).

441450504400 is an abundant number, since it is smaller than the sum of its proper divisors (664277786960).

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

441450504400 is a wasteful number, since it uses less digits than its factorization.

441450504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484373 (or 484362 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

Adding to 441450504400 its reverse (4405054144), we get a palindrome (445855558544).

The spelling of 441450504400 in words is "four hundred forty-one billion, four hundred fifty million, five hundred four thousand, four hundred".