4128822835200 has 864 divisors, whose sum is σ = 16963820808480. Its totient is φ = 940120473600.

The previous prime is 4128822835169. The next prime is 4128822835237. The reversal of 4128822835200 is 25382288214.

4128822835200 is a `hidden beast` number, since 4 + 1 + 28 + 8 + 22 + 83 + 520 + 0 = 666.

It is a super-3 number, since 3×4128822835200³ (a number of 39 digits) contains 333 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 893488890 + ... + 893493510.

Almost surely, 2^{4128822835200} is an apocalyptic number.

4128822835200 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 4128822835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8481910404240).

4128822835200 is an abundant number, since it is smaller than the sum of its proper divisors (12834997973280).

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

4128822835200 is a wasteful number, since it uses less digits than its factorization.

4128822835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4943 (or 4915 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 4128822835200 in words is "four trillion, one hundred twenty-eight billion, eight hundred twenty-two million, eight hundred thirty-five thousand, two hundred".