13807065240 has 192 divisors, whose sum is σ = 45651902400. Its totient is φ = 3618349056.

The previous prime is 13807065227. The next prime is 13807065257. The reversal of 13807065240 is 4256070831.

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 = 13807065195 and 13807065204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8855581 + ... + 8857139.

It is an arithmetic number, because the mean of its divisors is an integer number (237770325).

Almost surely, 2^13807065240 is an apocalyptic number.

13807065240 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 13807065240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22825951200).

13807065240 is an abundant number, since it is smaller than the sum of its proper divisors (31844837160).

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

13807065240 is a wasteful number, since it uses less digits than its factorization.

13807065240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 13807065240 in words is "thirteen billion, eight hundred seven million, sixty-five thousand, two hundred forty".