13111421440 has 160 divisors (see below), whose sum is σ = 34290305280. Its totient is φ = 4778901504.

The previous prime is 13111421383. The next prime is 13111421441. The reversal of 13111421440 is 4412411131.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (13111421441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2626627 + ... + 2631613.

It is an arithmetic number, because the mean of its divisors is an integer number (214314408).

Almost surely, 2^13111421440 is an apocalyptic number.

13111421440 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 13111421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17145152640).

13111421440 is an abundant number, since it is smaller than the sum of its proper divisors (21178883840).

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

13111421440 is an equidigital number, since it uses as much as digits as its factorization.

13111421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5102 (or 5086 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 13111421440 its reverse (4412411131), we get a palindrome (17523832571).

The spelling of 13111421440 in words is "thirteen billion, one hundred eleven million, four hundred twenty-one thousand, four hundred forty".