13440414104 has 96 divisors (see below), whose sum is σ = 28770315840. Its totient is φ = 5850662400.

The previous prime is 13440414083. The next prime is 13440414133. The reversal of 13440414104 is 40141404431.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10173764 + ... + 10175084.

It is an arithmetic number, because the mean of its divisors is an integer number (299690790).

Almost surely, 2^13440414104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13440414104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14385157920).

13440414104 is an abundant number, since it is smaller than the sum of its proper divisors (15329901736).

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

13440414104 is a wasteful number, since it uses less digits than its factorization.

13440414104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 13440414104 its reverse (40141404431), we get a palindrome (53581818535).

The spelling of 13440414104 in words is "thirteen billion, four hundred forty million, four hundred fourteen thousand, one hundred four".