442284524928 has 192 divisors, whose sum is σ = 1299901402800. Its totient is φ = 144312274944.

The previous prime is 442284524893. The next prime is 442284524987. The reversal of 442284524928 is 829425482244.

442284524928 is a `hidden beast` number, since 4 + 4 + 2 + 28 + 4 + 524 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10400926 + ... + 10443362.

Almost surely, 2^442284524928 is an apocalyptic number.

442284524928 is a gapful number since it is divisible by the number (48) 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 442284524928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649950701400).

442284524928 is an abundant number, since it is smaller than the sum of its proper divisors (857616877872).

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

442284524928 is a wasteful number, since it uses less digits than its factorization.

442284524928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42649 (or 42634 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The spelling of 442284524928 in words is "four hundred forty-two billion, two hundred eighty-four million, five hundred twenty-four thousand, nine hundred twenty-eight".