13444542441040 has 320 divisors, whose sum is σ = 33609608847360. Its totient is φ = 4991494717440.

The previous prime is 13444542441023. The next prime is 13444542441041. The reversal of 13444542441040 is 4014424544431.

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

It is a junction number, because it is equal to n+sod(n) for n = 13444542440984 and 13444542441002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13444542441041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7185751305 + ... + 7185753175.

It is an arithmetic number, because the mean of its divisors is an integer number (105030027648).

Almost surely, 2^{13444542441040} is an apocalyptic number.

13444542441040 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 13444542441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16804804423680).

13444542441040 is an abundant number, since it is smaller than the sum of its proper divisors (20165066406320).

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

13444542441040 is a wasteful number, since it uses less digits than its factorization.

13444542441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 40.

Adding to 13444542441040 its reverse (4014424544431), we get a palindrome (17458966985471).

The spelling of 13444542441040 in words is "thirteen trillion, four hundred forty-four billion, five hundred forty-two million, four hundred forty-one thousand, forty".