41679900082080 has 288 divisors, whose sum is σ = 158846732239104. Its totient is φ = 10259667588096.

The previous prime is 41679900082049. The next prime is 41679900082097. The reversal of 41679900082080 is 8028000997614.

41679900082080 is a `hidden beast` number, since 416 + 79 + 9 + 0 + 0 + 0 + 82 + 0 + 80 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 40725864 + ... + 41736743.

It is an arithmetic number, because the mean of its divisors is an integer number (551551153608).

Almost surely, 2^{41679900082080} is an apocalyptic number.

41679900082080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41679900082080 is an abundant number, since it is smaller than the sum of its proper divisors (117166832157024).

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

41679900082080 is a wasteful number, since it uses less digits than its factorization.

41679900082080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82462650 (or 82462630 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 41679900082080 in words is "forty-one trillion, six hundred seventy-nine billion, nine hundred million, eighty-two thousand, eighty".