13433916132000 has 1728 divisors, whose sum is σ = 59420930849280. Its totient is φ = 2814289920000.

The previous prime is 13433916131963. The next prime is 13433916132079. The reversal of 13433916132000 is 23161933431.

It is a happy number.

13433916132000 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 39 + 1 + 613 + 2 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6430786956 + ... + 6430789044.

It is an arithmetic number, because the mean of its divisors is an integer number (34387112760).

Almost surely, 2^{13433916132000} is an apocalyptic number.

13433916132000 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 13433916132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29710465424640).

13433916132000 is an abundant number, since it is smaller than the sum of its proper divisors (45987014717280).

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

13433916132000 is a wasteful number, since it uses less digits than its factorization.

13433916132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 13433916132000 in words is "thirteen trillion, four hundred thirty-three billion, nine hundred sixteen million, one hundred thirty-two thousand".