13414530000 has 400 divisors, whose sum is σ = 47484550080. Its totient is φ = 3247104000.

The previous prime is 13414529993. The next prime is 13414530001. The reversal of 13414530000 is 3541431.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13414530001) 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 79 ways as a sum of consecutive naturals, for example, 14789547 + ... + 14790453.

Almost surely, 2^13414530000 is an apocalyptic number.

13414530000 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 13414530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23742275040).

13414530000 is an abundant number, since it is smaller than the sum of its proper divisors (34070020080).

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

13414530000 is a wasteful number, since it uses less digits than its factorization.

13414530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The spelling of 13414530000 in words is "thirteen billion, four hundred fourteen million, five hundred thirty thousand".