13355013440 has 112 divisors (see below), whose sum is σ = 32452056000. Its totient is φ = 5233385472.

The previous prime is 13355013407. The next prime is 13355013449. The reversal of 13355013440 is 4431055331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13355013449) 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, 6361511 + ... + 6363609.

It is an arithmetic number, because the mean of its divisors is an integer number (289750500).

Almost surely, 2^13355013440 is an apocalyptic number.

13355013440 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 13355013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16226028000).

13355013440 is an abundant number, since it is smaller than the sum of its proper divisors (19097042560).

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

13355013440 is a wasteful number, since it uses less digits than its factorization.

13355013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 13355013440 its reverse (4431055331), we get a palindrome (17786068771).

The spelling of 13355013440 in words is "thirteen billion, three hundred fifty-five million, thirteen thousand, four hundred forty".