442422522320 has 160 divisors (see below), whose sum is σ = 1081357931520. Its totient is φ = 168017541120.

The previous prime is 442422522287. The next prime is 442422522323. The reversal of 442422522320 is 23225224244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442422522323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154637690 + ... + 154640550.

It is an arithmetic number, because the mean of its divisors is an integer number (6758487072).

Almost surely, 2^442422522320 is an apocalyptic number.

442422522320 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 442422522320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540678965760).

442422522320 is an abundant number, since it is smaller than the sum of its proper divisors (638935409200).

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

442422522320 is a wasteful number, since it uses less digits than its factorization.

442422522320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 32.

Adding to 442422522320 its reverse (23225224244), we get a palindrome (465647746564).

The spelling of 442422522320 in words is "four hundred forty-two billion, four hundred twenty-two million, five hundred twenty-two thousand, three hundred twenty".