4201128000 has 672 divisors, whose sum is σ = 16442375040. Its totient is φ = 1020211200.

The previous prime is 4201127999. The next prime is 4201128047. The reversal of 4201128000 is 8211024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50615959 + ... + 50616041.

It is an arithmetic number, because the mean of its divisors is an integer number (24467820).

Almost surely, 2^4201128000 is an apocalyptic number.

4201128000 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 4201128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8221187520).

4201128000 is an abundant number, since it is smaller than the sum of its proper divisors (12241247040).

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

4201128000 is a wasteful number, since it uses less digits than its factorization.

4201128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4201128000 is about 64816.1091087702. The cubic root of 4201128000 is about 1613.5730733744.

Adding to 4201128000 its reverse (8211024), we get a palindrome (4209339024).

The spelling of 4201128000 in words is "four billion, two hundred one million, one hundred twenty-eight thousand".