442405660200 has 96 divisors (see below), whose sum is σ = 1567380068160. Its totient is φ = 101121292800.

The previous prime is 442405660153. The next prime is 442405660211. The reversal of 442405660200 is 2066504244.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52663141 + ... + 52671540.

It is an arithmetic number, because the mean of its divisors is an integer number (16326875710).

Almost surely, 2^442405660200 is an apocalyptic number.

442405660200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442405660200 is an abundant number, since it is smaller than the sum of its proper divisors (1124974407960).

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

442405660200 is a wasteful number, since it uses less digits than its factorization.

442405660200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105334707 (or 105334698 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 442405660200 in words is "four hundred forty-two billion, four hundred five million, six hundred sixty thousand, two hundred".