442010112 has 80 divisors (see below), whose sum is σ = 1218270240. Its totient is φ = 142241792.

The previous prime is 442010111. The next prime is 442010119. The reversal of 442010112 is 211010244.

It is a super-2 number, since 2×442010112² = 390745878220505088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442010091 and 442010100.

It is not an unprimeable number, because it can be changed into a prime (442010111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39583 + ... + 49505.

It is an arithmetic number, because the mean of its divisors is an integer number (15228378).

Almost surely, 2^442010112 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 442010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609135120).

442010112 is an abundant number, since it is smaller than the sum of its proper divisors (776260128).

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

442010112 is an equidigital number, since it uses as much as digits as its factorization.

442010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9973 (or 9957 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 442010112 is about 21024.0365296486. The cubic root of 442010112 is about 761.7469692595.

Adding to 442010112 its reverse (211010244), we get a palindrome (653020356).

The spelling of 442010112 in words is "four hundred forty-two million, ten thousand, one hundred twelve".