13330040640 has 224 divisors, whose sum is σ = 48697286400. Its totient is φ = 3026190336.

The previous prime is 13330040639. The next prime is 13330040683. The reversal of 13330040640 is 4604003331.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13330040640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 994624 + ... + 1007936.

It is an arithmetic number, because the mean of its divisors is an integer number (217398600).

Almost surely, 2^13330040640 is an apocalyptic number.

13330040640 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 13330040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24348643200).

13330040640 is an abundant number, since it is smaller than the sum of its proper divisors (35367245760).

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

13330040640 is a wasteful number, since it uses less digits than its factorization.

13330040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13489 (or 13479 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13330040640 its reverse (4604003331), we get a palindrome (17934043971).

The spelling of 13330040640 in words is "thirteen billion, three hundred thirty million, forty thousand, six hundred forty".