14204121100440 has 256 divisors, whose sum is σ = 45563767228800. Its totient is φ = 3542226075648.

The previous prime is 14204121100391. The next prime is 14204121100441. The reversal of 14204121100440 is 4400112140241.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14204121100440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14204121100441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92484192 + ... + 92637648.

Almost surely, 2^{14204121100440} is an apocalyptic number.

14204121100440 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 14204121100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22781883614400).

14204121100440 is an abundant number, since it is smaller than the sum of its proper divisors (31359646128360).

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

14204121100440 is a wasteful number, since it uses less digits than its factorization.

14204121100440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153679 (or 153641 counting only the distinct ones).

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

Adding to 14204121100440 its reverse (4400112140241), we get a palindrome (18604233240681).

The spelling of 14204121100440 in words is "fourteen trillion, two hundred four billion, one hundred twenty-one million, one hundred thousand, four hundred forty".