14404141104400 has 30 divisors (see below), whose sum is σ = 34605949004282. Its totient is φ = 5761656441600.

The previous prime is 14404141104391. The next prime is 14404141104403. The reversal of 14404141104400 is 440114140441.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2129684910336 + 12274456194064 = 1459344^2 + 3503492^2 .

It is not an unprimeable number, because it can be changed into a prime (14404141104403) 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 5 ways as a sum of consecutive naturals, for example, 18005175981 + ... + 18005176780.

Almost surely, 2^{14404141104400} is an apocalyptic number.

14404141104400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14404141104400 is an abundant number, since it is smaller than the sum of its proper divisors (20201807899882).

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

14404141104400 is a wasteful number, since it uses less digits than its factorization.

14404141104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36010352779 (or 36010352768 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 14404141104400 its reverse (440114140441), we get a palindrome (14844255244841).

The spelling of 14404141104400 in words is "fourteen trillion, four hundred four billion, one hundred forty-one million, one hundred four thousand, four hundred".