13801818240 has 576 divisors, whose sum is σ = 56233008000. Its totient is φ = 3109736448.

The previous prime is 13801818223. The next prime is 13801818259. The reversal of 13801818240 is 4281810831.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 13801818195 and 13801818204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22296651 + ... + 22297269.

It is an arithmetic number, because the mean of its divisors is an integer number (97626750).

Almost surely, 2^13801818240 is an apocalyptic number.

13801818240 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 13801818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28116504000).

13801818240 is an abundant number, since it is smaller than the sum of its proper divisors (42431189760).

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

13801818240 is a wasteful number, since it uses less digits than its factorization.

13801818240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 13801818240 in words is "thirteen billion, eight hundred one million, eight hundred eighteen thousand, two hundred forty".