442024434401000 has 128 divisors (see below), whose sum is σ = 1128478169295360. Its totient is φ = 160720439968000.

The previous prime is 442024434400963. The next prime is 442024434401023. The reversal of 442024434401000 is 104434420244.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110823377 + ... + 114742623.

It is an arithmetic number, because the mean of its divisors is an integer number (8816235697620).

Almost surely, 2^{442024434401000} is an apocalyptic number.

442024434401000 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 442024434401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564239084647680).

442024434401000 is an abundant number, since it is smaller than the sum of its proper divisors (686453734894360).

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

442024434401000 is a wasteful number, since it uses less digits than its factorization.

442024434401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3929532 (or 3929518 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 442024434401000 its reverse (104434420244), we get a palindrome (442128868821244).

The spelling of 442024434401000 in words is "four hundred forty-two trillion, twenty-four billion, four hundred thirty-four million, four hundred one thousand".