442506409000 has 64 divisors (see below), whose sum is σ = 1089963201600. Its totient is φ = 167686632000.

The previous prime is 442506408893. The next prime is 442506409031. The reversal of 442506409000 is 904605244.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11625906 + ... + 11663905.

It is an arithmetic number, because the mean of its divisors is an integer number (17030675025).

Almost surely, 2^442506409000 is an apocalyptic number.

442506409000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442506409000 is an abundant number, since it is smaller than the sum of its proper divisors (647456792600).

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

442506409000 is a wasteful number, since it uses less digits than its factorization.

442506409000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23289851 (or 23289837 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 442506409000 in words is "four hundred forty-two billion, five hundred six million, four hundred nine thousand".