13344120240 has 160 divisors (see below), whose sum is σ = 45187393536. Its totient is φ = 3230638080.

The previous prime is 13344120193. The next prime is 13344120311. The reversal of 13344120240 is 4202144331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13344120240.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2275392 + ... + 2281248.

Almost surely, 2^13344120240 is an apocalyptic number.

13344120240 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 13344120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22593696768).

13344120240 is an abundant number, since it is smaller than the sum of its proper divisors (31843273296).

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

13344120240 is a wasteful number, since it uses less digits than its factorization.

13344120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6747 (or 6741 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13344120240 its reverse (4202144331), we get a palindrome (17546264571).

The spelling of 13344120240 in words is "thirteen billion, three hundred forty-four million, one hundred twenty thousand, two hundred forty".