14114222400 has 168 divisors, whose sum is σ = 46375340320. Its totient is φ = 3758192640.

The previous prime is 14114222393. The next prime is 14114222401. The reversal of 14114222400 is 422241141.

It is a super-2 number, since 2×14114222400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14114222401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3977427 + ... + 3980973.

Almost surely, 2^14114222400 is an apocalyptic number.

14114222400 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 14114222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23187670160).

14114222400 is an abundant number, since it is smaller than the sum of its proper divisors (32261117920).

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

14114222400 is a wasteful number, since it uses less digits than its factorization.

14114222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4401 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 14114222400 its reverse (422241141), we get a palindrome (14536463541).

The spelling of 14114222400 in words is "fourteen billion, one hundred fourteen million, two hundred twenty-two thousand, four hundred".