441332444000 has 384 divisors, whose sum is σ = 1340145451008. Its totient is φ = 139376025600.

The previous prime is 441332443999. The next prime is 441332444009. The reversal of 441332444000 is 444233144.

It is a happy number.

It is a super-2 number, since 2×441332444000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441332444009) by changing a digit.

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, 22362137 + ... + 22381863.

It is an arithmetic number, because the mean of its divisors is an integer number (3489962112).

Almost surely, 2^441332444000 is an apocalyptic number.

441332444000 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 441332444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670072725504).

441332444000 is an abundant number, since it is smaller than the sum of its proper divisors (898813007008).

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

441332444000 is a wasteful number, since it uses less digits than its factorization.

441332444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19823 (or 19805 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 441332444000 its reverse (444233144), we get a palindrome (441776677144).

The spelling of 441332444000 in words is "four hundred forty-one billion, three hundred thirty-two million, four hundred forty-four thousand".