442770566784 has 512 divisors, whose sum is σ = 1541417472000. Its totient is φ = 111687561216.

The previous prime is 442770566731. The next prime is 442770566789. The reversal of 442770566784 is 487665077244.

It is not an unprimeable number, because it can be changed into a prime (442770566789) 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 63 ways as a sum of consecutive naturals, for example, 39376267 + ... + 39387509.

It is an arithmetic number, because the mean of its divisors is an integer number (3010581000).

Almost surely, 2^442770566784 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 442770566784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770708736000).

442770566784 is an abundant number, since it is smaller than the sum of its proper divisors (1098646905216).

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

442770566784 is a wasteful number, since it uses less digits than its factorization.

442770566784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11317 (or 11291 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 60.

The spelling of 442770566784 in words is "four hundred forty-two billion, seven hundred seventy million, five hundred sixty-six thousand, seven hundred eighty-four".