442431313444320 has 192 divisors, whose sum is σ = 1413320182686720. Its totient is φ = 116317290700800.

The previous prime is 442431313444297. The next prime is 442431313444339. The reversal of 442431313444320 is 23444313134244.

It is a super-2 number, since 2×442431313444320² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1796267736 + ... + 1796514024.

It is an arithmetic number, because the mean of its divisors is an integer number (7361042618160).

Almost surely, 2^{442431313444320} is an apocalyptic number.

442431313444320 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 442431313444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706660091343360).

442431313444320 is an abundant number, since it is smaller than the sum of its proper divisors (970888869242400).

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

442431313444320 is a wasteful number, since it uses less digits than its factorization.

442431313444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299089 (or 299081 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

Adding to 442431313444320 its reverse (23444313134244), we get a palindrome (465875626578564).

The spelling of 442431313444320 in words is "four hundred forty-two trillion, four hundred thirty-one billion, three hundred thirteen million, four hundred forty-four thousand, three hundred twenty".