442585534464 has 468 divisors, whose sum is σ = 1361946533376. Its totient is φ = 143721381888.

The previous prime is 442585534403. The next prime is 442585534571. The reversal of 442585534464 is 464435585244.

442585534464 is a `hidden beast` number, since 4 + 4 + 2 + 585 + 53 + 4 + 4 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 442585534464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1155575617 + ... + 1155575999.

Almost surely, 2^442585534464 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 442585534464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680973266688).

442585534464 is an abundant number, since it is smaller than the sum of its proper divisors (919360998912).

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

442585534464 is an frugal number, since it uses more digits than its factorization.

442585534464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 431 counting only the distinct ones).

The product of its digits is 36864000, while the sum is 54.

The spelling of 442585534464 in words is "four hundred forty-two billion, five hundred eighty-five million, five hundred thirty-four thousand, four hundred sixty-four".