41794368768 has 288 divisors, whose sum is σ = 127638806400. Its totient is φ = 13481164800.

The previous prime is 41794368767. The next prime is 41794368769. The reversal of 41794368768 is 86786349714.

41794368768 is a `hidden beast` number, since 417 + 94 + 3 + 68 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (41794368767) and next prime (41794368769).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41794368767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39390958 + ... + 39392018.

It is an arithmetic number, because the mean of its divisors is an integer number (443190300).

Almost surely, 2^41794368768 is an apocalyptic number.

41794368768 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 41794368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63819403200).

41794368768 is an abundant number, since it is smaller than the sum of its proper divisors (85844437632).

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

41794368768 is a wasteful number, since it uses less digits than its factorization.

41794368768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1246 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 41794368768 in words is "forty-one billion, seven hundred ninety-four million, three hundred sixty-eight thousand, seven hundred sixty-eight".