442014403320 has 192 divisors, whose sum is σ = 1645364560320. Its totient is φ = 100810524672.

The previous prime is 442014403289. The next prime is 442014403339. The reversal of 442014403320 is 23304410244.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 959734 + ... + 1343546.

It is an arithmetic number, because the mean of its divisors is an integer number (8569607085).

Almost surely, 2^442014403320 is an apocalyptic number.

442014403320 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 442014403320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822682280160).

442014403320 is an abundant number, since it is smaller than the sum of its proper divisors (1203350157000).

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

442014403320 is a wasteful number, since it uses less digits than its factorization.

442014403320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384294 (or 384287 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 442014403320 its reverse (23304410244), we get a palindrome (465318813564).

The spelling of 442014403320 in words is "four hundred forty-two billion, fourteen million, four hundred three thousand, three hundred twenty".