4085089828200 has 576 divisors, whose sum is σ = 14546978160000. Its totient is φ = 1024491110400.

The previous prime is 4085089828199. The next prime is 4085089828213. The reversal of 4085089828200 is 28289805804.

It is a happy number.

4085089828200 is a `hidden beast` number, since 4 + 0 + 8 + 508 + 98 + 28 + 20 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3618325236 + ... + 3618326364.

Almost surely, 2^{4085089828200} is an apocalyptic number.

4085089828200 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 4085089828200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7273489080000).

4085089828200 is an abundant number, since it is smaller than the sum of its proper divisors (10461888331800).

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

4085089828200 is a wasteful number, since it uses less digits than its factorization.

4085089828200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 4085089828200 in words is "four trillion, eighty-five billion, eighty-nine million, eight hundred twenty-eight thousand, two hundred".