4228267852800 has 594 divisors, whose sum is σ = 16045183294218. Its totient is φ = 1060190945280.

The previous prime is 4228267852799. The next prime is 4228267852867. The reversal of 4228267852800 is 82587628224.

4228267852800 is a `hidden beast` number, since 4 + 2 + 28 + 26 + 78 + 528 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 636727394304 + 3591540458496 = 797952^2 + 1895136^2 .

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 53 ways as a sum of consecutive naturals, for example, 4069554681 + ... + 4069555719.

Almost surely, 2^{4228267852800} is an apocalyptic number.

4228267852800 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 4228267852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8022591647109).

4228267852800 is an abundant number, since it is smaller than the sum of its proper divisors (11816915441418).

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

4228267852800 is a wasteful number, since it uses less digits than its factorization.

4228267852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 4228267852800 in words is "four trillion, two hundred twenty-eight billion, two hundred sixty-seven million, eight hundred fifty-two thousand, eight hundred".