13204743782400 has 756 divisors, whose sum is σ = 47872781561332. Its totient is φ = 3478923509760.

The previous prime is 13204743782387. The next prime is 13204743782429. The reversal of 13204743782400 is 428734740231.

13204743782400 is a `hidden beast` number, since 1 + 3 + 204 + 7 + 4 + 37 + 8 + 2 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 440301256704 + 12764442525696 = 663552^2 + 3572736^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22885170912 + ... + 22885171488.

Almost surely, 2^{13204743782400} is an apocalyptic number.

13204743782400 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 13204743782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23936390780666).

13204743782400 is an abundant number, since it is smaller than the sum of its proper divisors (34668037778932).

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

13204743782400 is an frugal number, since it uses more digits than its factorization.

13204743782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 13204743782400 in words is "thirteen trillion, two hundred four billion, seven hundred forty-three million, seven hundred eighty-two thousand, four hundred".