13308984267040 has 384 divisors, whose sum is σ = 41281263636480. Its totient is φ = 3928302489600.

The previous prime is 13308984267037. The next prime is 13308984267049. The reversal of 13308984267040 is 4076248980331.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (13308984267049) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 641602909 + ... + 641623651.

It is an arithmetic number, because the mean of its divisors is an integer number (107503290720).

Almost surely, 2^{13308984267040} is an apocalyptic number.

13308984267040 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 13308984267040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20640631818240).

13308984267040 is an abundant number, since it is smaller than the sum of its proper divisors (27972279369440).

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

13308984267040 is a wasteful number, since it uses less digits than its factorization.

13308984267040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23536 (or 23528 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

The spelling of 13308984267040 in words is "thirteen trillion, three hundred eight billion, nine hundred eighty-four million, two hundred sixty-seven thousand, forty".