4101528960 has 448 divisors, whose sum is σ = 15050610000. Its totient is φ = 1067986944.

The previous prime is 4101528943. The next prime is 4101528971. The reversal of 4101528960 is 698251014.

4101528960 is a `hidden beast` number, since 41 + 0 + 1 + 528 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 27526966 + ... + 27527114.

Almost surely, 2^4101528960 is an apocalyptic number.

4101528960 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 4101528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7525305000).

4101528960 is an abundant number, since it is smaller than the sum of its proper divisors (10949081040).

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

4101528960 is an equidigital number, since it uses as much as digits as its factorization.

4101528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 4101528960 is about 64043.1804332046. The cubic root of 4101528960 is about 1600.7195929844.

Adding to 4101528960 its reverse (698251014), we get a palindrome (4799779974).

The spelling of 4101528960 in words is "four billion, one hundred one million, five hundred twenty-eight thousand, nine hundred sixty".