14404431224320 has 160 divisors (see below), whose sum is σ = 34792427168928. Its totient is φ = 5719290544128.

The previous prime is 14404431224299. The next prime is 14404431224377. The reversal of 14404431224320 is 2342213440441.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195800664 + ... + 195874216.

Almost surely, 2^{14404431224320} is an apocalyptic number.

14404431224320 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 14404431224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17396213584464).

14404431224320 is an abundant number, since it is smaller than the sum of its proper divisors (20387995944608).

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

14404431224320 is an equidigital number, since it uses as much as digits as its factorization.

14404431224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74140 (or 74124 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 14404431224320 its reverse (2342213440441), we get a palindrome (16746644664761).

The spelling of 14404431224320 in words is "fourteen trillion, four hundred four billion, four hundred thirty-one million, two hundred twenty-four thousand, three hundred twenty".