14201240233000 has 256 divisors, whose sum is σ = 35007886368000. Its totient is φ = 5386720768000.

The previous prime is 14201240232979. The next prime is 14201240233003. The reversal of 14201240233000 is 33204210241.

It is not an unprimeable number, because it can be changed into a prime (14201240233003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215258019 + ... + 215323981.

It is an arithmetic number, because the mean of its divisors is an integer number (136749556125).

Almost surely, 2^{14201240233000} is an apocalyptic number.

14201240233000 is a gapful number since it is divisible by the number (10) 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 14201240233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17503943184000).

14201240233000 is an abundant number, since it is smaller than the sum of its proper divisors (20806646135000).

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

14201240233000 is a wasteful number, since it uses less digits than its factorization.

14201240233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66173 (or 66159 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 14201240233000 its reverse (33204210241), we get a palindrome (14234444443241).

The spelling of 14201240233000 in words is "fourteen trillion, two hundred one billion, two hundred forty million, two hundred thirty-three thousand".