442140000304 has 80 divisors (see below), whose sum is σ = 913654522368. Its totient is φ = 206551213056.

The previous prime is 442140000271. The next prime is 442140000307. The reversal of 442140000304 is 403000041244.

It is a super-2 number, since 2×442140000304² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442140000307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37378039 + ... + 37389865.

Almost surely, 2^442140000304 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 442140000304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456827261184).

442140000304 is an abundant number, since it is smaller than the sum of its proper divisors (471514522064).

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

442140000304 is a wasteful number, since it uses less digits than its factorization.

442140000304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12842 (or 12836 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 442140000304 its reverse (403000041244), we get a palindrome (845140041548).

The spelling of 442140000304 in words is "four hundred forty-two billion, one hundred forty million, three hundred four", and thus it is an aban number.