13429843200000 has 576 divisors, whose sum is σ = 49725473616000. Its totient is φ = 3581245440000.

The previous prime is 13429843199999. The next prime is 13429843200083. The reversal of 13429843200000 is 234892431.

13429843200000 is a `hidden beast` number, since 134 + 2 + 98 + 432 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172761141 + ... + 172838859.

It is an arithmetic number, because the mean of its divisors is an integer number (86328947250).

Almost surely, 2^{13429843200000} is an apocalyptic number.

13429843200000 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 13429843200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24862736808000).

13429843200000 is an abundant number, since it is smaller than the sum of its proper divisors (36295630416000).

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

13429843200000 is an frugal number, since it uses more digits than its factorization.

13429843200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77775 (or 77729 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13429843200000 in words is "thirteen trillion, four hundred twenty-nine billion, eight hundred forty-three million, two hundred thousand".