41011684560 has 1280 divisors, whose sum is σ = 187599421440. Its totient is φ = 7983360000.

The previous prime is 41011684529. The next prime is 41011684579. The reversal of 41011684560 is 6548611014.

41011684560 is a `hidden beast` number, since 4 + 1 + 0 + 1 + 16 + 84 + 560 = 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 255 ways as a sum of consecutive naturals, for example, 271600485 + ... + 271600635.

It is an arithmetic number, because the mean of its divisors is an integer number (146562048).

Almost surely, 2^41011684560 is an apocalyptic number.

41011684560 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 41011684560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93799710720).

41011684560 is an abundant number, since it is smaller than the sum of its proper divisors (146587736880).

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

41011684560 is a wasteful number, since it uses less digits than its factorization.

41011684560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 41011684560 in words is "forty-one billion, eleven million, six hundred eighty-four thousand, five hundred sixty".