13660424040 has 512 divisors, whose sum is σ = 46714060800. Its totient is φ = 3182699520.

The previous prime is 13660424027. The next prime is 13660424059. The reversal of 13660424040 is 4042406631.

13660424040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 13660423989 and 13660424007.

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 127 ways as a sum of consecutive naturals, for example, 172916721 + ... + 172916799.

It is an arithmetic number, because the mean of its divisors is an integer number (91238400).

Almost surely, 2^13660424040 is an apocalyptic number.

13660424040 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 13660424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23357030400).

13660424040 is an abundant number, since it is smaller than the sum of its proper divisors (33053636760).

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

13660424040 is a wasteful number, since it uses less digits than its factorization.

13660424040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 13660424040 in words is "thirteen billion, six hundred sixty million, four hundred twenty-four thousand, forty".