41867036525664 has 960 divisors, whose sum is σ = 147822499528704. Its totient is φ = 11373022080000.

The previous prime is 41867036525663. The next prime is 41867036525669. The reversal of 41867036525664 is 46652563076814.

41867036525664 is a `hidden beast` number, since 4 + 1 + 8 + 6 + 7 + 0 + 3 + 65 + 2 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41867036525663) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12419765899 + ... + 12419769269.

Almost surely, 2^{41867036525664} 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 41867036525664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73911249764352).

41867036525664 is an abundant number, since it is smaller than the sum of its proper divisors (105955463003040).

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

41867036525664 is a wasteful number, since it uses less digits than its factorization.

41867036525664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 41867036525664 in words is "forty-one trillion, eight hundred sixty-seven billion, thirty-six million, five hundred twenty-five thousand, six hundred sixty-four".