41164985664 has 336 divisors, whose sum is σ = 132781608960. Its totient is φ = 12085355520.

The previous prime is 41164985663. The next prime is 41164985711. The reversal of 41164985664 is 46658946114.

41164985664 is a `hidden beast` number, since 4 + 11 + 64 + 9 + 8 + 566 + 4 = 666.

41164985664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 41164985664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41164985663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37869729 + ... + 37870815.

It is an arithmetic number, because the mean of its divisors is an integer number (395183360).

Almost surely, 2^41164985664 is an apocalyptic number.

41164985664 is a gapful number since it is divisible by the number (44) 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 41164985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66390804480).

41164985664 is an abundant number, since it is smaller than the sum of its proper divisors (91616623296).

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

41164985664 is a wasteful number, since it uses less digits than its factorization.

41164985664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1285 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 41164985664 in words is "forty-one billion, one hundred sixty-four million, nine hundred eighty-five thousand, six hundred sixty-four".