442085705082 has 96 divisors (see below), whose sum is σ = 1135684368000. Its totient is φ = 121604886144.

The previous prime is 442085705059. The next prime is 442085705119. The reversal of 442085705082 is 280507580244.

442085705082 is a `hidden beast` number, since 4 + 4 + 20 + 8 + 570 + 50 + 8 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1101913 + ... + 1448579.

It is an arithmetic number, because the mean of its divisors is an integer number (11830045500).

Almost surely, 2^442085705082 is an apocalyptic number.

442085705082 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 442085705082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567842184000).

442085705082 is an abundant number, since it is smaller than the sum of its proper divisors (693598662918).

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

442085705082 is a wasteful number, since it uses less digits than its factorization.

442085705082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347060 (or 347057 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 442085705082 in words is "four hundred forty-two billion, eighty-five million, seven hundred five thousand, eighty-two".