4072128800 has 72 divisors (see below), whose sum is σ = 9982806372. Its totient is φ = 1622016000.

The previous prime is 4072128751. The next prime is 4072128821. The reversal of 4072128800 is 88212704.

It can be written as a sum of positive squares in 6 ways, for example, as 2485221904 + 1586906896 = 49852^2 + 39836^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182240 + ... + 203360.

Almost surely, 2^4072128800 is an apocalyptic number.

4072128800 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 4072128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991403186).

4072128800 is an abundant number, since it is smaller than the sum of its proper divisors (5910677572).

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

4072128800 is a wasteful number, since it uses less digits than its factorization.

4072128800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21382 (or 21369 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 4072128800 is about 63813.2337372116. The cubic root of 4072128800 is about 1596.8857130267.

The spelling of 4072128800 in words is "four billion, seventy-two million, one hundred twenty-eight thousand, eight hundred".