442111114112 has 64 divisors (see below), whose sum is σ = 891689018400. Its totient is φ = 218320379904.

The previous prime is 442111114051. The next prime is 442111114127. The reversal of 442111114112 is 211411111244.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10082828 + ... + 10126580.

Almost surely, 2^442111114112 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 442111114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445844509200).

442111114112 is an abundant number, since it is smaller than the sum of its proper divisors (449577904288).

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

442111114112 is an equidigital number, since it uses as much as digits as its factorization.

442111114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44743 (or 44731 counting only the distinct ones).

The product of its digits is 256, while the sum is 23.

Adding to 442111114112 its reverse (211411111244), we get a palindrome (653522225356).

The spelling of 442111114112 in words is "four hundred forty-two billion, one hundred eleven million, one hundred fourteen thousand, one hundred twelve".