4428006811200 has 504 divisors, whose sum is σ = 18117838157952. Its totient is φ = 1004725002240.

The previous prime is 4428006811171. The next prime is 4428006811211. The reversal of 4428006811200 is 21186008244.

4428006811200 is a `hidden beast` number, since 442 + 8 + 0 + 0 + 6 + 8 + 1 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13649277 + ... + 13969923.

Almost surely, 2^{4428006811200} is an apocalyptic number.

4428006811200 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 4428006811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9058919078976).

4428006811200 is an abundant number, since it is smaller than the sum of its proper divisors (13689831346752).

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

4428006811200 is a wasteful number, since it uses less digits than its factorization.

4428006811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320819 (or 320801 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 4428006811200 in words is "four trillion, four hundred twenty-eight billion, six million, eight hundred eleven thousand, two hundred".