13355440000 has 240 divisors, whose sum is σ = 38687053680. Its totient is φ = 4577664000.

The previous prime is 13355439997. The next prime is 13355440001. The reversal of 13355440000 is 4455331.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13355440001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3918297 + ... + 3921703.

It is an arithmetic number, because the mean of its divisors is an integer number (161196057).

Almost surely, 2^13355440000 is an apocalyptic number.

13355440000 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 13355440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19343526840).

13355440000 is an abundant number, since it is smaller than the sum of its proper divisors (25331613680).

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

13355440000 is an frugal number, since it uses more digits than its factorization.

13355440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 13355440000 its reverse (4455331), we get a palindrome (13359895331).

The spelling of 13355440000 in words is "thirteen billion, three hundred fifty-five million, four hundred forty thousand".