1824216940800 has 1296 divisors, whose sum is σ = 7036217361600. Its totient is φ = 468038062080.

The previous prime is 1824216940771. The next prime is 1824216940813. The reversal of 1824216940800 is 80496124281.

1824216940800 is a `hidden beast` number, since 1 + 8 + 24 + 216 + 9 + 408 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30918931171 + ... + 30918931229.

Almost surely, 2^{1824216940800} is an apocalyptic number.

1824216940800 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 1824216940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518108680800).

1824216940800 is an abundant number, since it is smaller than the sum of its proper divisors (5212000420800).

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

1824216940800 is an frugal number, since it uses more digits than its factorization.

1824216940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1824216940800 in words is "one trillion, eight hundred twenty-four billion, two hundred sixteen million, nine hundred forty thousand, eight hundred".