442116120 has 128 divisors (see below), whose sum is σ = 1418135040. Its totient is φ = 109992960.

The previous prime is 442116119. The next prime is 442116121. The reversal of 442116120 is 21611244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (442116119) and next prime (442116121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442116121) 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 31 ways as a sum of consecutive naturals, for example, 111207 + ... + 115113.

It is an arithmetic number, because the mean of its divisors is an integer number (11079180).

Almost surely, 2^442116120 is an apocalyptic number.

442116120 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 442116120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709067520).

442116120 is an abundant number, since it is smaller than the sum of its proper divisors (976018920).

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

442116120 is a wasteful number, since it uses less digits than its factorization.

442116120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 442116120 is about 21026.5574928470. The cubic root of 442116120 is about 761.8078613943.

Adding to 442116120 its reverse (21611244), we get a palindrome (463727364).

The spelling of 442116120 in words is "four hundred forty-two million, one hundred sixteen thousand, one hundred twenty".