14400200315440 has 160 divisors (see below), whose sum is σ = 36273677711040. Its totient is φ = 5297906995200.

The previous prime is 14400200315437. The next prime is 14400200315441. The reversal of 14400200315440 is 4451300200441.

It is a junction number, because it is equal to n+sod(n) for n = 14400200315399 and 14400200315408.

It is not an unprimeable number, because it can be changed into a prime (14400200315441) 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 31 ways as a sum of consecutive naturals, for example, 25648930 + ... + 26204350.

It is an arithmetic number, because the mean of its divisors is an integer number (226710485694).

Almost surely, 2^{14400200315440} is an apocalyptic number.

14400200315440 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 14400200315440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18136838855520).

14400200315440 is an abundant number, since it is smaller than the sum of its proper divisors (21873477395600).

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

14400200315440 is a wasteful number, since it uses less digits than its factorization.

14400200315440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555951 (or 555945 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 14400200315440 its reverse (4451300200441), we get a palindrome (18851500515881).

The spelling of 14400200315440 in words is "fourteen trillion, four hundred billion, two hundred million, three hundred fifteen thousand, four hundred forty".