14411223400 has 144 divisors (see below), whose sum is σ = 39286771200. Its totient is φ = 4901662080.

The previous prime is 14411223397. The next prime is 14411223401. The reversal of 14411223400 is 432211441.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14411223401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1238811 + ... + 1250389.

It is an arithmetic number, because the mean of its divisors is an integer number (272824800).

Almost surely, 2^14411223400 is an apocalyptic number.

14411223400 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 14411223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19643385600).

14411223400 is an abundant number, since it is smaller than the sum of its proper divisors (24875547800).

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

14411223400 is a wasteful number, since it uses less digits than its factorization.

14411223400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11736 (or 11720 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 14411223400 its reverse (432211441), we get a palindrome (14843434841).

The spelling of 14411223400 in words is "fourteen billion, four hundred eleven million, two hundred twenty-three thousand, four hundred".