442230440440 has 128 divisors (see below), whose sum is σ = 1065854764800. Its totient is φ = 164552878080.

The previous prime is 442230440437. The next prime is 442230440461. The reversal of 442230440440 is 44044032244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21445735 + ... + 21466345.

It is an arithmetic number, because the mean of its divisors is an integer number (8326990350).

Almost surely, 2^442230440440 is an apocalyptic number.

442230440440 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 442230440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532927382400).

442230440440 is an abundant number, since it is smaller than the sum of its proper divisors (623624324360).

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

442230440440 is a wasteful number, since it uses less digits than its factorization.

442230440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21005 (or 21001 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 31.

Adding to 442230440440 its reverse (44044032244), we get a palindrome (486274472684).

The spelling of 442230440440 in words is "four hundred forty-two billion, two hundred thirty million, four hundred forty thousand, four hundred forty".