41585448960 has 1152 divisors, whose sum is σ = 176620953600. Its totient is φ = 8918138880.

The previous prime is 41585448953. The next prime is 41585448973. The reversal of 41585448960 is 6984458514.

41585448960 is a `hidden beast` number, since 4 + 1 + 5 + 8 + 544 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 41585448897 and 41585448906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 327444417 + ... + 327444543.

It is an arithmetic number, because the mean of its divisors is an integer number (153316800).

Almost surely, 2^41585448960 is an apocalyptic number.

41585448960 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 41585448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88310476800).

41585448960 is an abundant number, since it is smaller than the sum of its proper divisors (135035504640).

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

41585448960 is a wasteful number, since it uses less digits than its factorization.

41585448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

It can be divided in two parts, 41585 and 448960, that added together give a triangular number (490545 = T₉₉₀).

The spelling of 41585448960 in words is "forty-one billion, five hundred eighty-five million, four hundred forty-eight thousand, nine hundred sixty".