41682449664 has 180 divisors, whose sum is σ = 124746268416. Its totient is φ = 13843104768.

The previous prime is 41682449647. The next prime is 41682449689. The reversal of 41682449664 is 46694428614.

41682449664 is a `hidden beast` number, since 4 + 16 + 82 + 4 + 496 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41682449664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5864737 + ... + 5871839.

Almost surely, 2^41682449664 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 41682449664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62373134208).

41682449664 is an abundant number, since it is smaller than the sum of its proper divisors (83063818752).

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

41682449664 is an equidigital number, since it uses as much as digits as its factorization.

41682449664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7414 (or 7391 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 41682449664 in words is "forty-one billion, six hundred eighty-two million, four hundred forty-nine thousand, six hundred sixty-four".