13044002024040 has 256 divisors, whose sum is σ = 44513256775680. Its totient is φ = 3034993812480.

The previous prime is 13044002023967. The next prime is 13044002024041. The reversal of 13044002024040 is 4042020044031.

It is a happy number.

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 13044002024040.

It is not an unprimeable number, because it can be changed into a prime (13044002024041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1056882 + ... + 5215841.

It is an arithmetic number, because the mean of its divisors is an integer number (173879909280).

Almost surely, 2^{13044002024040} is an apocalyptic number.

13044002024040 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 13044002024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22256628387840).

13044002024040 is an abundant number, since it is smaller than the sum of its proper divisors (31469254751640).

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

13044002024040 is a wasteful number, since it uses less digits than its factorization.

13044002024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6272824 (or 6272820 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 13044002024040 its reverse (4042020044031), we get a palindrome (17086022068071).

The spelling of 13044002024040 in words is "thirteen trillion, forty-four billion, two million, twenty-four thousand, forty".