41979646080 has 192 divisors, whose sum is σ = 145195965720. Its totient is φ = 11176427520.

The previous prime is 41979646067. The next prime is 41979646103. The reversal of 41979646080 is 8064697914.

41979646080 is a `hidden beast` number, since 4 + 1 + 97 + 96 + 460 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15259166784 + 26720479296 = 123528^2 + 163464^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3755700 + ... + 3766860.

Almost surely, 2^41979646080 is an apocalyptic number.

41979646080 is a gapful number since it is divisible by the number (40) 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 41979646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72597982860).

41979646080 is an abundant number, since it is smaller than the sum of its proper divisors (103216319640).

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

41979646080 is a wasteful number, since it uses less digits than its factorization.

41979646080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11839 (or 11824 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 41979646080 in words is "forty-one billion, nine hundred seventy-nine million, six hundred forty-six thousand, eighty".