10442330443314 has 320 divisors, whose sum is σ = 29495659438080. Its totient is φ = 2682310360320.

The previous prime is 10442330443301. The next prime is 10442330443331. The reversal of 10442330443314 is 41334403324401.

10442330443314 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 2 + 330 + 4 + 4 + 3 + 314 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 810167382 + ... + 810180270.

It is an arithmetic number, because the mean of its divisors is an integer number (92173935744).

Almost surely, 2^{10442330443314} is an apocalyptic number.

10442330443314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10442330443314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747829719040).

10442330443314 is an abundant number, since it is smaller than the sum of its proper divisors (19053328994766).

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

10442330443314 is a wasteful number, since it uses less digits than its factorization.

10442330443314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13635 (or 13626 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 10442330443314 its reverse (41334403324401), we get a palindrome (51776733767715).

The spelling of 10442330443314 in words is "ten trillion, four hundred forty-two billion, three hundred thirty million, four hundred forty-three thousand, three hundred fourteen".