13141233421440 has 128 divisors (see below), whose sum is σ = 41907998419200. Its totient is φ = 3502629199872.

The previous prime is 13141233421439. The next prime is 13141233421483. The reversal of 13141233421440 is 4412433214131.

It is a happy number.

13141233421440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2302116 + ... + 5619804.

It is an arithmetic number, because the mean of its divisors is an integer number (327406237650).

Almost surely, 2^{13141233421440} is an apocalyptic number.

13141233421440 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 13141233421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20953999209600).

13141233421440 is an abundant number, since it is smaller than the sum of its proper divisors (28766764997760).

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

13141233421440 is a wasteful number, since it uses less digits than its factorization.

13141233421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319774 (or 3319762 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 13141233421440 its reverse (4412433214131), we get a palindrome (17553666635571).

The spelling of 13141233421440 in words is "thirteen trillion, one hundred forty-one billion, two hundred thirty-three million, four hundred twenty-one thousand, four hundred forty".