14133433241340 has 240 divisors, whose sum is σ = 50691177561024. Its totient is φ = 3229211059200.

The previous prime is 14133433241309. The next prime is 14133433241351. The reversal of 14133433241340 is 4314233433141.

14133433241340 is a `hidden beast` number, since 1 + 4 + 1 + 33 + 43 + 3 + 241 + 340 = 666.

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 = 14133433241295 and 14133433241304.

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 79 ways as a sum of consecutive naturals, for example, 28340950 + ... + 28835330.

Almost surely, 2^{14133433241340} is an apocalyptic number.

14133433241340 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 14133433241340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25345588780512).

14133433241340 is an abundant number, since it is smaller than the sum of its proper divisors (36557744319684).

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

14133433241340 is a wasteful number, since it uses less digits than its factorization.

14133433241340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496930 (or 496919 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 14133433241340 its reverse (4314233433141), we get a palindrome (18447666674481).

The spelling of 14133433241340 in words is "fourteen trillion, one hundred thirty-three billion, four hundred thirty-three million, two hundred forty-one thousand, three hundred forty".