13044120041040 has 320 divisors, whose sum is σ = 45553959788544. Its totient is φ = 3058986240000.

The previous prime is 13044120041039. The next prime is 13044120041053. The reversal of 13044120041040 is 4014002144031.

It is a super-2 number, since 2×13044120041040² (a number of 27 digits) contains 22 as substring.

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 13044120041040.

It is a congruent number.

It is an unprimeable number.

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, 214472235 + ... + 214533045.

Almost surely, 2^{13044120041040} is an apocalyptic number.

13044120041040 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 13044120041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22776979894272).

13044120041040 is an abundant number, since it is smaller than the sum of its proper divisors (32509839747504).

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

13044120041040 is a wasteful number, since it uses less digits than its factorization.

13044120041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63490 (or 63484 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13044120041040 its reverse (4014002144031), we get a palindrome (17058122185071).

The spelling of 13044120041040 in words is "thirteen trillion, forty-four billion, one hundred twenty million, forty-one thousand, forty".