13105324729440 has 288 divisors, whose sum is σ = 45024504557760. Its totient is φ = 3471125778432.

The previous prime is 13105324729391. The next prime is 13105324729447. The reversal of 13105324729440 is 4492742350131.

13105324729440 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 53 + 2 + 472 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105324729447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657656757 + ... + 657676683.

It is an arithmetic number, because the mean of its divisors is an integer number (156335085270).

Almost surely, 2^{13105324729440} is an apocalyptic number.

13105324729440 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 13105324729440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22512252278880).

13105324729440 is an abundant number, since it is smaller than the sum of its proper divisors (31919179828320).

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

13105324729440 is a wasteful number, since it uses less digits than its factorization.

13105324729440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23014 (or 23003 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13105324729440 in words is "thirteen trillion, one hundred five billion, three hundred twenty-four million, seven hundred twenty-nine thousand, four hundred forty".