442428907518 has 160 divisors (see below), whose sum is σ = 1145921315616. Its totient is φ = 126368335872.

The previous prime is 442428907513. The next prime is 442428907589. The reversal of 442428907518 is 815709824244.

442428907518 is a `hidden beast` number, since 4 + 4 + 2 + 42 + 89 + 0 + 7 + 518 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442428907513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2528905 + ... + 2698187.

Almost surely, 2^442428907518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442428907518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572960657808).

442428907518 is an abundant number, since it is smaller than the sum of its proper divisors (703492408098).

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

442428907518 is a wasteful number, since it uses less digits than its factorization.

442428907518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169400 (or 169391 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 442428907518 in words is "four hundred forty-two billion, four hundred twenty-eight million, nine hundred seven thousand, five hundred eighteen".