13933800240 has 80 divisors (see below), whose sum is σ = 43470024288. Its totient is φ = 3692003328.

The previous prime is 13933800211. The next prime is 13933800247. The reversal of 13933800240 is 4200833931.

It is a happy number.

13933800240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13933800247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 147217 + ... + 222576.

Almost surely, 2^13933800240 is an apocalyptic number.

13933800240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13933800240 is an abundant number, since it is smaller than the sum of its proper divisors (29536224048).

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

13933800240 is a wasteful number, since it uses less digits than its factorization.

13933800240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369966 (or 369960 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 13933800240 in words is "thirteen billion, nine hundred thirty-three million, eight hundred thousand, two hundred forty".