14201284800 has 168 divisors, whose sum is σ = 47729101392. Its totient is φ = 3694592000.

The previous prime is 14201284787. The next prime is 14201284829. The reversal of 14201284800 is 848210241.

It is a super-2 number, since 2×14201284800² (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 160720 + ... + 232880.

It is an arithmetic number, because the mean of its divisors is an integer number (284101794).

Almost surely, 2^14201284800 is an apocalyptic number.

14201284800 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 14201284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23864550696).

14201284800 is an abundant number, since it is smaller than the sum of its proper divisors (33527816592).

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

14201284800 is a wasteful number, since it uses less digits than its factorization.

14201284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72227 (or 72212 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 14201284800 in words is "fourteen billion, two hundred one million, two hundred eighty-four thousand, eight hundred".