4128888960 has 288 divisors, whose sum is σ = 16586469900. Its totient is φ = 943681536.

The previous prime is 4128888937. The next prime is 4128888961. The reversal of 4128888960 is 698888214.

It can be written as a sum of positive squares in 2 ways, for example, as 3884779584 + 244109376 = 62328^2 + 15624^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 4128888897 and 4128888906.

It is not an unprimeable number, because it can be changed into a prime (4128888961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 274926 + ... + 289554.

Almost surely, 2^4128888960 is an apocalyptic number.

4128888960 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 4128888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8293234950).

4128888960 is an abundant number, since it is smaller than the sum of its proper divisors (12457580940).

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

4128888960 is a wasteful number, since it uses less digits than its factorization.

4128888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14668 (or 14646 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 4128888960 is about 64256.4312734531. The cubic root of 4128888960 is about 1604.2710055917.

The spelling of 4128888960 in words is "four billion, one hundred twenty-eight million, eight hundred eighty-eight thousand, nine hundred sixty".