41617668960 has 288 divisors, whose sum is σ = 162758756160. Its totient is φ = 9486249984.

The previous prime is 41617668949. The next prime is 41617668971. The reversal of 41617668960 is 6986671614.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41617668949) and next prime (41617668971).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 41617668897 and 41617668906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3754306 + ... + 3765374.

It is an arithmetic number, because the mean of its divisors is an integer number (565134570).

Almost surely, 2^41617668960 is an apocalyptic number.

41617668960 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 41617668960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81379378080).

41617668960 is an abundant number, since it is smaller than the sum of its proper divisors (121141087200).

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

41617668960 is a wasteful number, since it uses less digits than its factorization.

41617668960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11470 (or 11459 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 41617668960 in words is "forty-one billion, six hundred seventeen million, six hundred sixty-eight thousand, nine hundred sixty".