41640950633184 has 288 divisors, whose sum is σ = 136170283564224. Its totient is φ = 11823870689280.

The previous prime is 41640950633173. The next prime is 41640950633197. The reversal of 41640950633184 is 48133605904614.

It is a happy number.

41640950633184 is a `hidden beast` number, since 4 + 1 + 6 + 409 + 50 + 6 + 3 + 3 + 184 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 41640950633184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 914098152 + ... + 914143704.

It is an arithmetic number, because the mean of its divisors is an integer number (472813484598).

Almost surely, 2^{41640950633184} 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 41640950633184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68085141782112).

41640950633184 is an abundant number, since it is smaller than the sum of its proper divisors (94529332931040).

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

41640950633184 is a wasteful number, since it uses less digits than its factorization.

41640950633184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48370 (or 48359 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 41640950633184 in words is "forty-one trillion, six hundred forty billion, nine hundred fifty million, six hundred thirty-three thousand, one hundred eighty-four".