14224114110400 has 168 divisors, whose sum is σ = 35431145011584. Its totient is φ = 5619628723200.

The previous prime is 14224114110301. The next prime is 14224114110403. The reversal of 14224114110400 is 401141142241.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14224114110403) 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, 608610715 + ... + 608634085.

It is an arithmetic number, because the mean of its divisors is an integer number (210899672688).

Almost surely, 2^{14224114110400} is an apocalyptic number.

14224114110400 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 14224114110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17715572505792).

14224114110400 is an abundant number, since it is smaller than the sum of its proper divisors (21207030901184).

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

14224114110400 is a wasteful number, since it uses less digits than its factorization.

14224114110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28059 (or 28044 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 14224114110400 its reverse (401141142241), we get a palindrome (14625255252641).

The spelling of 14224114110400 in words is "fourteen trillion, two hundred twenty-four billion, one hundred fourteen million, one hundred ten thousand, four hundred".