442111120 has 80 divisors (see below), whose sum is σ = 1135052352. Its totient is φ = 158804480.

The previous prime is 442111099. The next prime is 442111121. The reversal of 442111120 is 21111244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 442111094 and 442111103.

It is not an unprimeable number, because it can be changed into a prime (442111121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70014 + ... + 76066.

Almost surely, 2^442111120 is an apocalyptic number.

442111120 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 442111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567526176).

442111120 is an abundant number, since it is smaller than the sum of its proper divisors (692941232).

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

442111120 is a wasteful number, since it uses less digits than its factorization.

442111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6160 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 442111120 is about 21026.4385952543. The cubic root of 442111120 is about 761.8049895593.

Adding to 442111120 its reverse (21111244), we get a palindrome (463222364).

It can be divided in two parts, 4 and 42111120, that added together give a palindrome (42111124).

The spelling of 442111120 in words is "four hundred forty-two million, one hundred eleven thousand, one hundred twenty".