41728814676 has 288 divisors, whose sum is σ = 120207360000. Its totient is φ = 12142690560.

The previous prime is 41728814671. The next prime is 41728814713. The reversal of 41728814676 is 67641882714.

41728814676 is a `hidden beast` number, since 4 + 172 + 8 + 8 + 1 + 467 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41728814671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48577935 + ... + 48578793.

Almost surely, 2^41728814676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41728814676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60103680000).

41728814676 is an abundant number, since it is smaller than the sum of its proper divisors (78478545324).

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

41728814676 is a wasteful number, since it uses less digits than its factorization.

41728814676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1022 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 41728814676 in words is "forty-one billion, seven hundred twenty-eight million, eight hundred fourteen thousand, six hundred seventy-six".