13830815440 has 40 divisors (see below), whose sum is σ = 34630236648. Its totient is φ = 5106762240.

The previous prime is 13830815417. The next prime is 13830815503. The reversal of 13830815440 is 4451803831.

13830815440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 606735424 + 13224080016 = 24632^2 + 114996^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 13830815440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6648391 + ... + 6650470.

Almost surely, 2^13830815440 is an apocalyptic number.

13830815440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13830815440 is an abundant number, since it is smaller than the sum of its proper divisors (20799421208).

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

13830815440 is a wasteful number, since it uses less digits than its factorization.

13830815440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13298887 (or 13298881 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 13830815440 in words is "thirteen billion, eight hundred thirty million, eight hundred fifteen thousand, four hundred forty".