40330122310330 has 192 divisors, whose sum is σ = 81053251209216. Its totient is φ = 14405529600000.

The previous prime is 40330122310319. The next prime is 40330122310333. The reversal of 40330122310330 is 3301322103304.

40330122310330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40330122310295 and 40330122310304.

It is not an unprimeable number, because it can be changed into a prime (40330122310333) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 9600122230 + ... + 9600126430.

It is an arithmetic number, because the mean of its divisors is an integer number (422152350048).

Almost surely, 2^{40330122310330} is an apocalyptic number.

40330122310330 is an abundant number, since it is smaller than the sum of its proper divisors (40723128898886).

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

40330122310330 is a wasteful number, since it uses less digits than its factorization.

40330122310330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5921 (or 5892 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 40330122310330 its reverse (3301322103304), we get a palindrome (43631444413634).

The spelling of 40330122310330 in words is "forty trillion, three hundred thirty billion, one hundred twenty-two million, three hundred ten thousand, three hundred thirty".