442130203320 has 512 divisors, whose sum is σ = 1514603059200. Its totient is φ = 102483763200.

The previous prime is 442130203303. The next prime is 442130203321. The reversal of 442130203320 is 23302031244.

442130203320 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442130203321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 361512229 + ... + 361513451.

It is an arithmetic number, because the mean of its divisors is an integer number (2958209100).

Almost surely, 2^442130203320 is an apocalyptic number.

442130203320 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 442130203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757301529600).

442130203320 is an abundant number, since it is smaller than the sum of its proper divisors (1072472855880).

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

442130203320 is a wasteful number, since it uses less digits than its factorization.

442130203320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 442130203320 its reverse (23302031244), we get a palindrome (465432234564).

The spelling of 442130203320 in words is "four hundred forty-two billion, one hundred thirty million, two hundred three thousand, three hundred twenty".