13330801440 has 288 divisors, whose sum is σ = 49997316096. Its totient is φ = 3207598080.

The previous prime is 13330801439. The next prime is 13330801453. The reversal of 13330801440 is 4410803331.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2167009 + ... + 2173151.

It is an arithmetic number, because the mean of its divisors is an integer number (173601792).

Almost surely, 2^13330801440 is an apocalyptic number.

13330801440 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 13330801440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24998658048).

13330801440 is an abundant number, since it is smaller than the sum of its proper divisors (36666514656).

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

13330801440 is a wasteful number, since it uses less digits than its factorization.

13330801440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312 (or 6301 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 13330801440 in words is "thirteen billion, three hundred thirty million, eight hundred one thousand, four hundred forty".