13411214440 has 128 divisors (see below), whose sum is σ = 33994598400. Its totient is φ = 4724628480.

The previous prime is 13411214437. The next prime is 13411214441. The reversal of 13411214440 is 4441211431.

It is not an unprimeable number, because it can be changed into a prime (13411214441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5727670 + ... + 5730010.

It is an arithmetic number, because the mean of its divisors is an integer number (265582800).

Almost surely, 2^13411214440 is an apocalyptic number.

13411214440 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 13411214440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16997299200).

13411214440 is an abundant number, since it is smaller than the sum of its proper divisors (20583383960).

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

13411214440 is a wasteful number, since it uses less digits than its factorization.

13411214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 13411214440 its reverse (4441211431), we get a palindrome (17852425871).

The spelling of 13411214440 in words is "thirteen billion, four hundred eleven million, two hundred fourteen thousand, four hundred forty".