41579581608 has 160 divisors (see below), whose sum is σ = 127921780800. Its totient is φ = 12559421952.

The previous prime is 41579581573. The next prime is 41579581609. The reversal of 41579581608 is 80618597514.

It is a happy number.

41579581608 is a `hidden beast` number, since 4 + 1 + 57 + 9 + 581 + 6 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (41579581609) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 209760 + ... + 356592.

It is an arithmetic number, because the mean of its divisors is an integer number (799511130).

Almost surely, 2^41579581608 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 41579581608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63960890400).

41579581608 is an abundant number, since it is smaller than the sum of its proper divisors (86342199192).

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

41579581608 is a wasteful number, since it uses less digits than its factorization.

41579581608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146893 (or 146880 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 41579581608 in words is "forty-one billion, five hundred seventy-nine million, five hundred eighty-one thousand, six hundred eight".