442034031324424 has 256 divisors, whose sum is σ = 1045420253798400. Its totient is φ = 170218632729600.

The previous prime is 442034031324409. The next prime is 442034031324527. The reversal of 442034031324424 is 424423130430244.

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 63 ways as a sum of consecutive naturals, for example, 21750421927 + ... + 21750442249.

It is an arithmetic number, because the mean of its divisors is an integer number (4083672866400).

Almost surely, 2^{442034031324424} is an apocalyptic number.

442034031324424 is a gapful number since it is divisible by the number (44) 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 442034031324424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522710126899200).

442034031324424 is an abundant number, since it is smaller than the sum of its proper divisors (603386222473976).

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

442034031324424 is a wasteful number, since it uses less digits than its factorization.

442034031324424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21684 (or 21680 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

Adding to 442034031324424 its reverse (424423130430244), we get a palindrome (866457161754668).

The spelling of 442034031324424 in words is "four hundred forty-two trillion, thirty-four billion, thirty-one million, three hundred twenty-four thousand, four hundred twenty-four".