13328807040 has 256 divisors, whose sum is σ = 49691952000. Its totient is φ = 3367194624.

The previous prime is 13328807039. The next prime is 13328807077. The reversal of 13328807040 is 4070882331.

It is a super-3 number, since 3×13328807040³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13328806986 and 13328807004.

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, 308022 + ... + 348618.

Almost surely, 2^13328807040 is an apocalyptic number.

13328807040 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 13328807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24845976000).

13328807040 is an abundant number, since it is smaller than the sum of its proper divisors (36363144960).

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

13328807040 is a wasteful number, since it uses less digits than its factorization.

13328807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40644 (or 40626 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13328807040 in words is "thirteen billion, three hundred twenty-eight million, eight hundred seven thousand, forty".