14013404430000 has 400 divisors, whose sum is σ = 46013714398080. Its totient is φ = 3673004544000.

The previous prime is 14013404429923. The next prime is 14013404430059. The reversal of 14013404430000 is 3440431041.

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, 938662536 + ... + 938677464.

Almost surely, 2^{14013404430000} is an apocalyptic number.

14013404430000 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 14013404430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23006857199040).

14013404430000 is an abundant number, since it is smaller than the sum of its proper divisors (32000309968080).

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

14013404430000 is a wasteful number, since it uses less digits than its factorization.

14013404430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15494 (or 15473 counting only the distinct ones).

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

Adding to 14013404430000 its reverse (3440431041), we get a palindrome (14016844861041).

The spelling of 14013404430000 in words is "fourteen trillion, thirteen billion, four hundred four million, four hundred thirty thousand".