13364040000 has 280 divisors, whose sum is σ = 46790872128. Its totient is φ = 3353600000.

The previous prime is 13364039989. The next prime is 13364040007. The reversal of 13364040000 is 4046331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13364040007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2036725 + ... + 2043275.

Almost surely, 2^13364040000 is an apocalyptic number.

13364040000 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 13364040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23395436064).

13364040000 is an abundant number, since it is smaller than the sum of its proper divisors (33426832128).

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

13364040000 is an equidigital number, since it uses as much as digits as its factorization.

13364040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6603 (or 6578 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13364040000 its reverse (4046331), we get a palindrome (13368086331).

The spelling of 13364040000 in words is "thirteen billion, three hundred sixty-four million, forty thousand".