442344244000 has 192 divisors, whose sum is σ = 1171953619200. Its totient is φ = 163535616000.

The previous prime is 442344243989. The next prime is 442344244007. The reversal of 442344244000 is 442443244.

It is not an unprimeable number, because it can be changed into a prime (442344244007) 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 31 ways as a sum of consecutive naturals, for example, 3045021 + ... + 3186979.

It is an arithmetic number, because the mean of its divisors is an integer number (6103925100).

Almost surely, 2^442344244000 is an apocalyptic number.

442344244000 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 442344244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585976809600).

442344244000 is an abundant number, since it is smaller than the sum of its proper divisors (729609375200).

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

442344244000 is a wasteful number, since it uses less digits than its factorization.

442344244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142044 (or 142026 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 31.

Adding to 442344244000 its reverse (442443244), we get a palindrome (442786687244).

The spelling of 442344244000 in words is "four hundred forty-two billion, three hundred forty-four million, two hundred forty-four thousand".