41523265728 has 336 divisors, whose sum is σ = 138709359360. Its totient is φ = 11631900672.

The previous prime is 41523265723. The next prime is 41523265769. The reversal of 41523265728 is 82756232514.

41523265728 is a `hidden beast` number, since 4 + 1 + 52 + 3 + 26 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (41523265723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47024775 + ... + 47025657.

Almost surely, 2^41523265728 is an apocalyptic number.

41523265728 is a gapful number since it is divisible by the number (48) 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 41523265728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69354679680).

41523265728 is an abundant number, since it is smaller than the sum of its proper divisors (97186093632).

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

41523265728 is a wasteful number, since it uses less digits than its factorization.

41523265728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1111 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 41523265728 in words is "forty-one billion, five hundred twenty-three million, two hundred sixty-five thousand, seven hundred twenty-eight".