41956779168 has 120 divisors (see below), whose sum is σ = 123690035700. Its totient is φ = 13952010240.

The previous prime is 41956779149. The next prime is 41956779169. The reversal of 41956779168 is 86197765914.

41956779168 is a `hidden beast` number, since 4 + 1 + 9 + 567 + 7 + 9 + 1 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24377201424 + 17579577744 = 156132^2 + 132588^2 .

It is not an unprimeable number, because it can be changed into a prime (41956779169) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1072008 + ... + 1110456.

Almost surely, 2^41956779168 is an apocalyptic number.

41956779168 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 41956779168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61845017850).

41956779168 is an abundant number, since it is smaller than the sum of its proper divisors (81733256532).

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

41956779168 is a wasteful number, since it uses less digits than its factorization.

41956779168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38892 (or 38875 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 41956779168 in words is "forty-one billion, nine hundred fifty-six million, seven hundred seventy-nine thousand, one hundred sixty-eight".