442790430624 has 144 divisors (see below), whose sum is σ = 1286436453120. Its totient is φ = 144404789760.

The previous prime is 442790430611. The next prime is 442790430629. The reversal of 442790430624 is 426034097244.

It is a Cunningham number, because it is equal to 665425²-1.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 442790430624.

It is not an unprimeable number, because it can be changed into a prime (442790430629) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 62546317 + ... + 62553395.

It is an arithmetic number, because the mean of its divisors is an integer number (8933586480).

Almost surely, 2^442790430624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442790430624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643218226560).

442790430624 is an abundant number, since it is smaller than the sum of its proper divisors (843646022496).

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

442790430624 is a wasteful number, since it uses less digits than its factorization.

442790430624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11763 (or 11752 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 442790430624 in words is "four hundred forty-two billion, seven hundred ninety million, four hundred thirty thousand, six hundred twenty-four".