4128880000 has 320 divisors, whose sum is σ = 12025775520. Its totient is φ = 1382400000.

The previous prime is 4128879973. The next prime is 4128880001. The reversal of 4128880000 is 888214.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4128880001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40879950 + ... + 40880050.

Almost surely, 2^4128880000 is an apocalyptic number.

4128880000 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 4128880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6012887760).

4128880000 is an abundant number, since it is smaller than the sum of its proper divisors (7896895520).

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

4128880000 is an equidigital number, since it uses as much as digits as its factorization.

4128880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 4128880000 is about 64256.3615527677. The cubic root of 4128880000 is about 1604.2698451279.

The spelling of 4128880000 in words is "four billion, one hundred twenty-eight million, eight hundred eighty thousand".