13443644102040 has 320 divisors, whose sum is σ = 45408356040960. Its totient is φ = 3582062455680.

The previous prime is 13443644102039. The next prime is 13443644102041. The reversal of 13443644102040 is 4020144634431.

13443644102040 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 3 + 6 + 441 + 0 + 204 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13443644102039) and next prime (13443644102041).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13443644101986 and 13443644102004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13443644102041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1076260195 + ... + 1076272685.

It is an arithmetic number, because the mean of its divisors is an integer number (141901112628).

Almost surely, 2^{13443644102040} is an apocalyptic number.

13443644102040 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 13443644102040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22704178020480).

13443644102040 is an abundant number, since it is smaller than the sum of its proper divisors (31964711938920).

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

13443644102040 is an equidigital number, since it uses as much as digits as its factorization.

13443644102040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13896 (or 13868 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 13443644102040 its reverse (4020144634431), we get a palindrome (17463788736471).

The spelling of 13443644102040 in words is "thirteen trillion, four hundred forty-three billion, six hundred forty-four million, one hundred two thousand, forty".