14400134430000 has 400 divisors, whose sum is σ = 50892309148032. Its totient is φ = 3478496000000.

The previous prime is 14400134429999. The next prime is 14400134430013. The reversal of 14400134430000 is 3443100441.

14400134430000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92652355 + ... + 92807645.

Almost surely, 2^{14400134430000} is an apocalyptic number.

14400134430000 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 14400134430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25446154574016).

14400134430000 is an abundant number, since it is smaller than the sum of its proper divisors (36492174718032).

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

14400134430000 is a wasteful number, since it uses less digits than its factorization.

14400134430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155614 (or 155593 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14400134430000 its reverse (3443100441), we get a palindrome (14403577530441).

The spelling of 14400134430000 in words is "fourteen trillion, four hundred billion, one hundred thirty-four million, four hundred thirty thousand".