41968468782 has 96 divisors (see below), whose sum is σ = 100200222720. Its totient is φ = 12636233280.

The previous prime is 41968468777. The next prime is 41968468793. The reversal of 41968468782 is 28786486914.

41968468782 is a `hidden beast` number, since 4 + 1 + 96 + 8 + 468 + 7 + 82 = 666.

It is a super-2 number, since 2×41968468782² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2485107 + ... + 2501937.

It is an arithmetic number, because the mean of its divisors is an integer number (1043752320).

Almost surely, 2^41968468782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41968468782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50100111360).

41968468782 is an abundant number, since it is smaller than the sum of its proper divisors (58231753938).

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

41968468782 is a wasteful number, since it uses less digits than its factorization.

41968468782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17198 (or 17195 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 41968468782 in words is "forty-one billion, nine hundred sixty-eight million, four hundred sixty-eight thousand, seven hundred eighty-two".