4198144204800 has 2688 divisors, whose sum is σ = 19403511429120. Its totient is φ = 877162659840.

The previous prime is 4198144204799. The next prime is 4198144204829. The reversal of 4198144204800 is 84024418914.

4198144204800 is a `hidden beast` number, since 4 + 1 + 9 + 8 + 144 + 20 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 40758681549 + ... + 40758681651.

It is an arithmetic number, because the mean of its divisors is an integer number (7218568240).

Almost surely, 2^{4198144204800} is an apocalyptic number.

4198144204800 is a gapful number since it is divisible by the number (40) 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 4198144204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9701755714560).

4198144204800 is an abundant number, since it is smaller than the sum of its proper divisors (15205367224320).

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

4198144204800 is an equidigital number, since it uses as much as digits as its factorization.

4198144204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 4198144204800 in words is "four trillion, one hundred ninety-eight billion, one hundred forty-four million, two hundred four thousand, eight hundred".