13423435008000 has 1152 divisors, whose sum is σ = 47840177024640. Its totient is φ = 3340999065600.

The previous prime is 13423435007993. The next prime is 13423435008001. The reversal of 13423435008000 is 80053432431.

It is not an unprimeable number, because it can be changed into a prime (13423435008001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43724543847 + ... + 43724544153.

It is an arithmetic number, because the mean of its divisors is an integer number (41527931445).

Almost surely, 2^{13423435008000} is an apocalyptic number.

13423435008000 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 13423435008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23920088512320).

13423435008000 is an abundant number, since it is smaller than the sum of its proper divisors (34416742016640).

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

13423435008000 is a wasteful number, since it uses less digits than its factorization.

13423435008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 13423435008000 in words is "thirteen trillion, four hundred twenty-three billion, four hundred thirty-five million, eight thousand".