4011528080 has 180 divisors, whose sum is σ = 11528551188. Its totient is φ = 1294110720.

The previous prime is 4011528071. The next prime is 4011528151. The reversal of 4011528080 is 808251104.

It can be written as a sum of positive squares in 6 ways, for example, as 133726096 + 3877801984 = 11564^2 + 62272^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1131110 + ... + 1134650.

Almost surely, 2^4011528080 is an apocalyptic number.

4011528080 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 4011528080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5764275594).

4011528080 is an abundant number, since it is smaller than the sum of its proper divisors (7517023108).

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

4011528080 is a wasteful number, since it uses less digits than its factorization.

4011528080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3572 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 4011528080 is about 63336.6251074369. The cubic root of 4011528080 is about 1588.9245631676.

Adding to 4011528080 its reverse (808251104), we get a palindrome (4819779184).

The spelling of 4011528080 in words is "four billion, eleven million, five hundred twenty-eight thousand, eighty".