442231324313000 has 32 divisors (see below), whose sum is σ = 1034821298894760. Its totient is φ = 176892529724800.

The previous prime is 442231324312949. The next prime is 442231324313003. The reversal of 442231324313000 is 313423132244.

It can be written as a sum of positive squares in 4 ways, for example, as 227643338325316 + 214587985987684 = 15087854^2 + 14648822^2 .

It is not an unprimeable number, because it can be changed into a prime (442231324313003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221115661157 + ... + 221115663156.

Almost surely, 2^{442231324313000} is an apocalyptic number.

442231324313000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442231324313000 is an abundant number, since it is smaller than the sum of its proper divisors (592589974581760).

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

442231324313000 is a wasteful number, since it uses less digits than its factorization.

442231324313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442231324334 (or 442231324320 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 442231324313000 its reverse (313423132244), we get a palindrome (442544747445244).

The spelling of 442231324313000 in words is "four hundred forty-two trillion, two hundred thirty-one billion, three hundred twenty-four million, three hundred thirteen thousand".