13380810240 has 720 divisors, whose sum is σ = 52807374576. Its totient is φ = 2879815680.

The previous prime is 13380810193. The next prime is 13380810253. The reversal of 13380810240 is 4201808331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13380810198 and 13380810207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 361643502 + ... + 361643538.

Almost surely, 2^13380810240 is an apocalyptic number.

13380810240 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 13380810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26403687288).

13380810240 is an abundant number, since it is smaller than the sum of its proper divisors (39426564336).

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

13380810240 is an equidigital number, since it uses as much as digits as its factorization.

13380810240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 13380810240 in words is "thirteen billion, three hundred eighty million, eight hundred ten thousand, two hundred forty".