14401221553200 has 480 divisors, whose sum is σ = 49327948809216. Its totient is φ = 3578897530880.

The previous prime is 14401221553181. The next prime is 14401221553211. The reversal of 14401221553200 is 235512210441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 895980364 + ... + 895996436.

Almost surely, 2^{14401221553200} is an apocalyptic number.

14401221553200 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 14401221553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24663974404608).

14401221553200 is an abundant number, since it is smaller than the sum of its proper divisors (34926727256016).

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

14401221553200 is a wasteful number, since it uses less digits than its factorization.

14401221553200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16541 (or 16530 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 14401221553200 its reverse (235512210441), we get a palindrome (14636733763641).

The spelling of 14401221553200 in words is "fourteen trillion, four hundred one billion, two hundred twenty-one million, five hundred fifty-three thousand, two hundred".