14220024134400 has 648 divisors, whose sum is σ = 58312838371424. Its totient is φ = 3238531891200.

The previous prime is 14220024134399. The next prime is 14220024134413. The reversal of 14220024134400 is 443142002241.

14220024134400 is a `hidden beast` number, since 1 + 4 + 2 + 200 + 2 + 4 + 13 + 440 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111622740 + ... + 111750060.

Almost surely, 2^{14220024134400} is an apocalyptic number.

14220024134400 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 14220024134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29156419185712).

14220024134400 is an abundant number, since it is smaller than the sum of its proper divisors (44092814237024).

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

14220024134400 is a wasteful number, since it uses less digits than its factorization.

14220024134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127637 (or 127615 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14220024134400 its reverse (443142002241), we get a palindrome (14663166136641).

The spelling of 14220024134400 in words is "fourteen trillion, two hundred twenty billion, twenty-four million, one hundred thirty-four thousand, four hundred".