41160682080 has 864 divisors, whose sum is σ = 169631830368. Its totient is φ = 9057484800.

The previous prime is 41160682067. The next prime is 41160682103. The reversal of 41160682080 is 8028606114.

41160682080 is a `hidden beast` number, since 41 + 1 + 606 + 8 + 2 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 314203615 + ... + 314203745.

It is an arithmetic number, because the mean of its divisors is an integer number (196333137).

Almost surely, 2^41160682080 is an apocalyptic number.

41160682080 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 41160682080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84815915184).

41160682080 is an abundant number, since it is smaller than the sum of its proper divisors (128471148288).

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

41160682080 is a wasteful number, since it uses less digits than its factorization.

41160682080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 41160682080 in words is "forty-one billion, one hundred sixty million, six hundred eighty-two thousand, eighty".