14271422400 has 210 divisors, whose sum is σ = 52458635240. Its totient is φ = 3805678080.

The previous prime is 14271422369. The next prime is 14271422411. The reversal of 14271422400 is 422417241.

14271422400 is a `hidden beast` number, since 1 + 427 + 14 + 224 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 74541 + ... + 184659.

Almost surely, 2^14271422400 is an apocalyptic number.

14271422400 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 14271422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26229317620).

14271422400 is an abundant number, since it is smaller than the sum of its proper divisors (38187212840).

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

14271422400 is a wasteful number, since it uses less digits than its factorization.

14271422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110153 (or 110129 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 14271422400 its reverse (422417241), we get a palindrome (14693839641).

The spelling of 14271422400 in words is "fourteen billion, two hundred seventy-one million, four hundred twenty-two thousand, four hundred".