14402214204100 has 144 divisors (see below), whose sum is σ = 33056478000000. Its totient is φ = 5431402045440.

The previous prime is 14402214204089. The next prime is 14402214204173. The reversal of 14402214204100 is 140241220441.

It is a happy number.

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

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, 331834201 + ... + 331877599.

It is an arithmetic number, because the mean of its divisors is an integer number (229558875000).

Almost surely, 2^{14402214204100} is an apocalyptic number.

14402214204100 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 14402214204100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16528239000000).

14402214204100 is an abundant number, since it is smaller than the sum of its proper divisors (18654263795900).

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

14402214204100 is a wasteful number, since it uses less digits than its factorization.

14402214204100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44270 (or 44263 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 14402214204100 its reverse (140241220441), we get a palindrome (14542455424541).

The spelling of 14402214204100 in words is "fourteen trillion, four hundred two billion, two hundred fourteen million, two hundred four thousand, one hundred".