14224143443400 has 2304 divisors, whose sum is σ = 59783382547200. Its totient is φ = 2994278400000.

The previous prime is 14224143443309. The next prime is 14224143443401. The reversal of 14224143443400 is 434434142241.

14224143443400 is a `hidden beast` number, since 1 + 4 + 2 + 241 + 4 + 3 + 4 + 4 + 3 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14224143443401) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 140833103350 + ... + 140833103450.

It is an arithmetic number, because the mean of its divisors is an integer number (25947648675).

Almost surely, 2^{14224143443400} is an apocalyptic number.

14224143443400 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 14224143443400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29891691273600).

14224143443400 is an abundant number, since it is smaller than the sum of its proper divisors (45559239103800).

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

14224143443400 is a wasteful number, since it uses less digits than its factorization.

14224143443400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 14224143443400 its reverse (434434142241), we get a palindrome (14658577585641).

The spelling of 14224143443400 in words is "fourteen trillion, two hundred twenty-four billion, one hundred forty-three million, four hundred forty-three thousand, four hundred".