442421204120 has 128 divisors (see below), whose sum is σ = 1156000602240. Its totient is φ = 149251092480.

The previous prime is 442421204059. The next prime is 442421204129. The reversal of 442421204120 is 21402124244.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 442421204120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442421204129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8579534 + ... + 8630946.

It is an arithmetic number, because the mean of its divisors is an integer number (9031254705).

Almost surely, 2^442421204120 is an apocalyptic number.

442421204120 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 442421204120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578000301120).

442421204120 is an abundant number, since it is smaller than the sum of its proper divisors (713579398120).

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

442421204120 is a wasteful number, since it uses less digits than its factorization.

442421204120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51925 (or 51921 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 442421204120 its reverse (21402124244), we get a palindrome (463823328364).

The spelling of 442421204120 in words is "four hundred forty-two billion, four hundred twenty-one million, two hundred four thousand, one hundred twenty".