13433022400000 has 240 divisors, whose sum is σ = 38340161510112. Its totient is φ = 4605603840000.

The previous prime is 13433022399989. The next prime is 13433022400013. The reversal of 13433022400000 is 422033431.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10600312 + ... + 11799688.

Almost surely, 2^{13433022400000} is an apocalyptic number.

13433022400000 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 13433022400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19170080755056).

13433022400000 is an abundant number, since it is smaller than the sum of its proper divisors (24907139110112).

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

13433022400000 is an frugal number, since it uses more digits than its factorization.

13433022400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199427 (or 1199391 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 13433022400000 its reverse (422033431), we get a palindrome (13433444433431).

The spelling of 13433022400000 in words is "thirteen trillion, four hundred thirty-three billion, twenty-two million, four hundred thousand".