14400411440000 has 80 divisors (see below), whose sum is σ = 35848924453320. Its totient is φ = 5760164544000.

The previous prime is 14400411439987. The next prime is 14400411440057. The reversal of 14400411440000 is 4411400441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 89922572 + ... + 90082571.

Almost surely, 2^{14400411440000} is an apocalyptic number.

14400411440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14400411440000 is an abundant number, since it is smaller than the sum of its proper divisors (21448513013320).

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

14400411440000 is an frugal number, since it uses more digits than its factorization.

14400411440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180005177 (or 180005150 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 14400411440000 its reverse (4411400441), we get a palindrome (14404822840441).

The spelling of 14400411440000 in words is "fourteen trillion, four hundred billion, four hundred eleven million, four hundred forty thousand".