442741668480 has 768 divisors, whose sum is σ = 1679153898240. Its totient is φ = 107150376960.

The previous prime is 442741668431. The next prime is 442741668491. The reversal of 442741668480 is 84866147244.

442741668480 is a `hidden beast` number, since 4 + 427 + 4 + 1 + 66 + 84 + 80 = 666.

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 95 ways as a sum of consecutive naturals, for example, 200971059 + ... + 200973261.

It is an arithmetic number, because the mean of its divisors is an integer number (2186398305).

Almost surely, 2^442741668480 is an apocalyptic number.

442741668480 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 442741668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839576949120).

442741668480 is an abundant number, since it is smaller than the sum of its proper divisors (1236412229760).

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

442741668480 is a wasteful number, since it uses less digits than its factorization.

442741668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 442741668480 in words is "four hundred forty-two billion, seven hundred forty-one million, six hundred sixty-eight thousand, four hundred eighty".