14234233232340 has 384 divisors, whose sum is σ = 49669272576000. Its totient is φ = 3354627294720.

The previous prime is 14234233232321. The next prime is 14234233232363. The reversal of 14234233232340 is 4323233243241.

14234233232340 is a `hidden beast` number, since 1 + 4 + 234 + 23 + 32 + 32 + 340 = 666.

It is a super-2 number, since 2×14234233232340² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14234233232295 and 14234233232304.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 41426727 + ... + 41768913.

It is an arithmetic number, because the mean of its divisors is an integer number (129347064000).

Almost surely, 2^{14234233232340} is an apocalyptic number.

14234233232340 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 14234233232340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24834636288000).

14234233232340 is an abundant number, since it is smaller than the sum of its proper divisors (35435039343660).

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

14234233232340 is a wasteful number, since it uses less digits than its factorization.

14234233232340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342412 (or 342404 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 14234233232340 its reverse (4323233243241), we get a palindrome (18557466475581).

The spelling of 14234233232340 in words is "fourteen trillion, two hundred thirty-four billion, two hundred thirty-three million, two hundred thirty-two thousand, three hundred forty".