14133422102400 has 288 divisors, whose sum is σ = 50443101293520. Its totient is φ = 3768029798400.

The previous prime is 14133422102399. The next prime is 14133422102407. The reversal of 14133422102400 is 420122433141.

14133422102400 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 3 + 42 + 210 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14133422102407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 127845549 + ... + 127956051.

Almost surely, 2^{14133422102400} is an apocalyptic number.

14133422102400 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 14133422102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25221550646760).

14133422102400 is an abundant number, since it is smaller than the sum of its proper divisors (36309679191120).

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

14133422102400 is a wasteful number, since it uses less digits than its factorization.

14133422102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114974 (or 114954 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14133422102400 its reverse (420122433141), we get a palindrome (14553544535541).

The spelling of 14133422102400 in words is "fourteen trillion, one hundred thirty-three billion, four hundred twenty-two million, one hundred two thousand, four hundred".