442430304013000 has 64 divisors (see below), whose sum is σ = 1035435697171200. Its totient is φ = 176946688139200.

The previous prime is 442430304012997. The next prime is 442430304013001. The reversal of 442430304013000 is 310403034244.

It is a self number, because there is not a number n which added to its sum of digits gives 442430304013000.

It is not an unprimeable number, because it can be changed into a prime (442430304013001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24829354 + ... + 38747353.

It is an arithmetic number, because the mean of its divisors is an integer number (16178682768300).

Almost surely, 2^{442430304013000} is an apocalyptic number.

442430304013000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442430304013000 is an abundant number, since it is smaller than the sum of its proper divisors (593005393158200).

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

442430304013000 is a wasteful number, since it uses less digits than its factorization.

442430304013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63583687 (or 63583673 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 442430304013000 its reverse (310403034244), we get a palindrome (442740707047244).

The spelling of 442430304013000 in words is "four hundred forty-two trillion, four hundred thirty billion, three hundred four million, thirteen thousand".