442520235000 has 240 divisors, whose sum is σ = 1500227586000. Its totient is φ = 117801216000.

The previous prime is 442520234953. The next prime is 442520235019. The reversal of 442520235000 is 532025244.

It is a happy number.

442520235000 is a `hidden beast` number, since 4 + 425 + 2 + 0 + 235 + 0 + 0 + 0 = 666.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 26946792 + ... + 26963208.

It is an arithmetic number, because the mean of its divisors is an integer number (6250948275).

Almost surely, 2^442520235000 is an apocalyptic number.

442520235000 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 442520235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750113793000).

442520235000 is an abundant number, since it is smaller than the sum of its proper divisors (1057707351000).

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

442520235000 is a wasteful number, since it uses less digits than its factorization.

442520235000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17048 (or 17026 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The spelling of 442520235000 in words is "four hundred forty-two billion, five hundred twenty million, two hundred thirty-five thousand".