14213230400 has 168 divisors, whose sum is σ = 35618196480. Its totient is φ = 5581578240.

The previous prime is 14213230399. The next prime is 14213230417. The reversal of 14213230400 is 403231241.

14213230400 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 (20).

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, 22961291 + ... + 22961909.

Almost surely, 2^14213230400 is an apocalyptic number.

14213230400 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 14213230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17809098240).

14213230400 is an abundant number, since it is smaller than the sum of its proper divisors (21404966080).

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

14213230400 is a wasteful number, since it uses less digits than its factorization.

14213230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14213230400 its reverse (403231241), we get a palindrome (14616461641).

The spelling of 14213230400 in words is "fourteen billion, two hundred thirteen million, two hundred thirty thousand, four hundred".