14414201104200 has 192 divisors, whose sum is σ = 47315114496000. Its totient is φ = 3617481584640.

The previous prime is 14414201104187. The next prime is 14414201104243. The reversal of 14414201104200 is 240110241441.

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

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, 288726841 + ... + 288776759.

It is an arithmetic number, because the mean of its divisors is an integer number (246432888000).

Almost surely, 2^{14414201104200} is an apocalyptic number.

14414201104200 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 14414201104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23657557248000).

14414201104200 is an abundant number, since it is smaller than the sum of its proper divisors (32900913391800).

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

14414201104200 is a wasteful number, since it uses less digits than its factorization.

14414201104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78264 (or 78255 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 14414201104200 its reverse (240110241441), we get a palindrome (14654311345641).

The spelling of 14414201104200 in words is "fourteen trillion, four hundred fourteen billion, two hundred one million, one hundred four thousand, two hundred".