41585459616 has 180 divisors, whose sum is σ = 125226481842. Its totient is φ = 13537891584.

The previous prime is 41585459599. The next prime is 41585459627. The reversal of 41585459616 is 61695458514.

It is a happy number.

41585459616 is a `hidden beast` number, since 4 + 1 + 5 + 8 + 545 + 96 + 1 + 6 = 666.

41585459616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 38649987216 + 2935472400 = 196596^2 + 54180^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4788270 + ... + 4796946.

Almost surely, 2^41585459616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41585459616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62613240921).

41585459616 is an abundant number, since it is smaller than the sum of its proper divisors (83641022226).

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

41585459616 is an equidigital number, since it uses as much as digits as its factorization.

41585459616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8785 (or 8725 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 41585459616 in words is "forty-one billion, five hundred eighty-five million, four hundred fifty-nine thousand, six hundred sixteen".