14143422400 has 168 divisors, whose sum is σ = 35800684304. Its totient is φ = 5496422400.

The previous prime is 14143422373. The next prime is 14143422479. The reversal of 14143422400 is 422434141.

14143422400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16580374 + ... + 16581226.

Almost surely, 2^14143422400 is an apocalyptic number.

14143422400 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 14143422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17900342152).

14143422400 is an abundant number, since it is smaller than the sum of its proper divisors (21657261904).

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

14143422400 is a wasteful number, since it uses less digits than its factorization.

14143422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 14143422400 its reverse (422434141), we get a palindrome (14565856541).

The spelling of 14143422400 in words is "fourteen billion, one hundred forty-three million, four hundred twenty-two thousand, four hundred".