442430104412300 has 144 divisors (see below), whose sum is σ = 1001236006294272. Its totient is φ = 169587514387200.

The previous prime is 442430104412297. The next prime is 442430104412323. The reversal of 442430104412300 is 3214401034244.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34769999 + ... + 45758201.

It is an arithmetic number, because the mean of its divisors is an integer number (6953027821488).

Almost surely, 2^{442430104412300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442430104412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500618003147136).

442430104412300 is an abundant number, since it is smaller than the sum of its proper divisors (558805901881972).

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

442430104412300 is a wasteful number, since it uses less digits than its factorization.

442430104412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10988448 (or 10988441 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 442430104412300 its reverse (3214401034244), we get a palindrome (445644505446544).

The spelling of 442430104412300 in words is "four hundred forty-two trillion, four hundred thirty billion, one hundred four million, four hundred twelve thousand, three hundred".