13444343040 has 144 divisors (see below), whose sum is σ = 43049877696. Its totient is φ = 3575808000.

The previous prime is 13444343023. The next prime is 13444343047. The reversal of 13444343040 is 4034344431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13444342989 and 13444343007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13444343047) 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 15 ways as a sum of consecutive naturals, for example, 1535475 + ... + 1544205.

It is an arithmetic number, because the mean of its divisors is an integer number (298957484).

Almost surely, 2^13444343040 is an apocalyptic number.

13444343040 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 13444343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21524938848).

13444343040 is an abundant number, since it is smaller than the sum of its proper divisors (29605534656).

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

13444343040 is an equidigital number, since it uses as much as digits as its factorization.

13444343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9156 (or 9142 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 13444343040 its reverse (4034344431), we get a palindrome (17478687471).

The spelling of 13444343040 in words is "thirteen billion, four hundred forty-four million, three hundred forty-three thousand, forty".