442753667712 has 96 divisors (see below), whose sum is σ = 1276400810880. Its totient is φ = 147314539008.

The previous prime is 442753667633. The next prime is 442753667717. The reversal of 442753667712 is 217766357244.

442753667712 is a `hidden beast` number, since 4 + 4 + 27 + 536 + 6 + 77 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×442753667712³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (442753667717) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278833 + ... + 981455.

It is an arithmetic number, because the mean of its divisors is an integer number (13295841780).

Almost surely, 2^442753667712 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 442753667712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638200405440).

442753667712 is an abundant number, since it is smaller than the sum of its proper divisors (833647143168).

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

442753667712 is a wasteful number, since it uses less digits than its factorization.

442753667712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703190 (or 703175 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

The spelling of 442753667712 in words is "four hundred forty-two billion, seven hundred fifty-three million, six hundred sixty-seven thousand, seven hundred twelve".