13440743680 has 576 divisors, whose sum is σ = 43020149760. Its totient is φ = 3905814528.

The previous prime is 13440743669. The next prime is 13440743683. The reversal of 13440743680 is 8634704431.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (13440743683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77692074 + ... + 77692246.

It is an arithmetic number, because the mean of its divisors is an integer number (74687760).

Almost surely, 2^13440743680 is an apocalyptic number.

13440743680 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 13440743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21510074880).

13440743680 is an abundant number, since it is smaller than the sum of its proper divisors (29579406080).

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

13440743680 is a wasteful number, since it uses less digits than its factorization.

13440743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 13440743680 in words is "thirteen billion, four hundred forty million, seven hundred forty-three thousand, six hundred eighty".