13444318040 has 64 divisors (see below), whose sum is σ = 31011932160. Its totient is φ = 5243102080.

The previous prime is 13444318031. The next prime is 13444318051. The reversal of 13444318040 is 4081344431.

It is a junction number, because it is equal to n+sod(n) for n = 13444317988 and 13444318006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480845 + ... + 508035.

It is an arithmetic number, because the mean of its divisors is an integer number (484561440).

Almost surely, 2^13444318040 is an apocalyptic number.

13444318040 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 13444318040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15505966080).

13444318040 is an abundant number, since it is smaller than the sum of its proper divisors (17567614120).

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

13444318040 is a wasteful number, since it uses less digits than its factorization.

13444318040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27512 (or 27508 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 13444318040 in words is "thirteen billion, four hundred forty-four million, three hundred eighteen thousand, forty".