41405560608 has 192 divisors, whose sum is σ = 119793945600. Its totient is φ = 12471137280.

The previous prime is 41405560607. The next prime is 41405560613. The reversal of 41405560608 is 80606550414.

It is a happy number.

It is a super-2 number, since 2×41405560608² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41405560601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4385653 + ... + 4395083.

It is an arithmetic number, because the mean of its divisors is an integer number (623926800).

Almost surely, 2^41405560608 is an apocalyptic number.

41405560608 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 41405560608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59896972800).

41405560608 is an abundant number, since it is smaller than the sum of its proper divisors (78388384992).

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

41405560608 is a wasteful number, since it uses less digits than its factorization.

41405560608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9575 (or 9567 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 41405560608 in words is "forty-one billion, four hundred five million, five hundred sixty thousand, six hundred eight".