14221244400 has 240 divisors, whose sum is σ = 50193537408. Its totient is φ = 3413120000.

The previous prime is 14221244381. The next prime is 14221244417. The reversal of 14221244400 is 444212241.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1327867 + ... + 1338533.

Almost surely, 2^14221244400 is an apocalyptic number.

14221244400 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 14221244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25096768704).

14221244400 is an abundant number, since it is smaller than the sum of its proper divisors (35972293008).

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

14221244400 is a wasteful number, since it uses less digits than its factorization.

14221244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10800 (or 10789 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14221244400 its reverse (444212241), we get a palindrome (14665456641).

The spelling of 14221244400 in words is "fourteen billion, two hundred twenty-one million, two hundred forty-four thousand, four hundred".