13144404321440 has 192 divisors, whose sum is σ = 37399951411200. Its totient is φ = 4264641156096.

The previous prime is 13144404321439. The next prime is 13144404321589. The reversal of 13144404321440 is 4412340444131.

13144404321440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13144404321440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18527171 + ... + 19223549.

It is an arithmetic number, because the mean of its divisors is an integer number (194791413600).

Almost surely, 2^{13144404321440} is an apocalyptic number.

13144404321440 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 13144404321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18699975705600).

13144404321440 is an abundant number, since it is smaller than the sum of its proper divisors (24255547089760).

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

13144404321440 is a wasteful number, since it uses less digits than its factorization.

13144404321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697307 (or 697299 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 13144404321440 its reverse (4412340444131), we get a palindrome (17556744765571).

The spelling of 13144404321440 in words is "thirteen trillion, one hundred forty-four billion, four hundred four million, three hundred twenty-one thousand, four hundred forty".