13993806240 has 288 divisors, whose sum is σ = 50464342656. Its totient is φ = 3660733440.

The previous prime is 13993806221. The next prime is 13993806271. The reversal of 13993806240 is 4260839931.

It is a happy number.

13993806240 is a `hidden beast` number, since 13 + 9 + 9 + 3 + 8 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13993806240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2057245 + ... + 2064035.

It is an arithmetic number, because the mean of its divisors is an integer number (175223412).

Almost surely, 2^13993806240 is an apocalyptic number.

13993806240 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 13993806240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25232171328).

13993806240 is an abundant number, since it is smaller than the sum of its proper divisors (36470536416).

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

13993806240 is an equidigital number, since it uses as much as digits as its factorization.

13993806240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6874 (or 6854 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13993806240 in words is "thirteen billion, nine hundred ninety-three million, eight hundred six thousand, two hundred forty".