41408410068 has 72 divisors (see below), whose sum is σ = 106914114216. Its totient is φ = 13508352000.

The previous prime is 41408410063. The next prime is 41408410073. The reversal of 41408410068 is 86001480414.

41408410068 is a `hidden beast` number, since 414 + 0 + 84 + 100 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (41408410063) and next prime (41408410073).

It can be written as a sum of positive squares in 4 ways, for example, as 8167098384 + 33241311684 = 90372^2 + 182322^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41408410063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 738048 + ... + 792168.

It is an arithmetic number, because the mean of its divisors is an integer number (1484918253).

Almost surely, 2^41408410068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41408410068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53457057108).

41408410068 is an abundant number, since it is smaller than the sum of its proper divisors (65505704148).

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

41408410068 is a wasteful number, since it uses less digits than its factorization.

41408410068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54585 (or 54580 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 41408410068 in words is "forty-one billion, four hundred eight million, four hundred ten thousand, sixty-eight".