442041445320 has 128 divisors (see below), whose sum is σ = 1405546473600. Its totient is φ = 110831947776.

The previous prime is 442041445277. The next prime is 442041445361. The reversal of 442041445320 is 23544140244.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1925211 + ... + 2142549.

It is an arithmetic number, because the mean of its divisors is an integer number (10980831825).

Almost surely, 2^442041445320 is an apocalyptic number.

442041445320 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 442041445320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702773236800).

442041445320 is an abundant number, since it is smaller than the sum of its proper divisors (963505028280).

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

442041445320 is a wasteful number, since it uses less digits than its factorization.

442041445320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218367 (or 218363 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 442041445320 its reverse (23544140244), we get a palindrome (465585585564).

The spelling of 442041445320 in words is "four hundred forty-two billion, forty-one million, four hundred forty-five thousand, three hundred twenty".