13433115323040 has 384 divisors, whose sum is σ = 49417799639040. Its totient is φ = 3003293196288.

The previous prime is 13433115322961. The next prime is 13433115323063. The reversal of 13433115323040 is 4032351133431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13433115322992 and 13433115323010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272071476 + ... + 272120844.

It is an arithmetic number, because the mean of its divisors is an integer number (128692186560).

Almost surely, 2^{13433115323040} is an apocalyptic number.

13433115323040 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 13433115323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24708899819520).

13433115323040 is an abundant number, since it is smaller than the sum of its proper divisors (35984684316000).

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

13433115323040 is a wasteful number, since it uses less digits than its factorization.

13433115323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51164 (or 51156 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

Adding to 13433115323040 its reverse (4032351133431), we get a palindrome (17465466456471).

The spelling of 13433115323040 in words is "thirteen trillion, four hundred thirty-three billion, one hundred fifteen million, three hundred twenty-three thousand, forty".