442344230320 has 320 divisors, whose sum is σ = 1170027970560. Its totient is φ = 154641484800.

The previous prime is 442344230303. The next prime is 442344230329. The reversal of 442344230320 is 23032443244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (442344230329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 467100087 + ... + 467101033.

It is an arithmetic number, because the mean of its divisors is an integer number (3656337408).

Almost surely, 2^442344230320 is an apocalyptic number.

442344230320 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 442344230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585013985280).

442344230320 is an abundant number, since it is smaller than the sum of its proper divisors (727683740240).

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

442344230320 is a wasteful number, since it uses less digits than its factorization.

442344230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 31.

Adding to 442344230320 its reverse (23032443244), we get a palindrome (465376673564).

The spelling of 442344230320 in words is "four hundred forty-two billion, three hundred forty-four million, two hundred thirty thousand, three hundred twenty".