41682545049600 has 4032 divisors, whose sum is σ = 195050688055200. Its totient is φ = 8645498634240.

The previous prime is 41682545049599. The next prime is 41682545049667. The reversal of 41682545049600 is 694054528614.

It is a happy number.

41682545049600 is a `hidden beast` number, since 4 + 1 + 6 + 8 + 2 + 545 + 0 + 4 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

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 251 ways as a sum of consecutive naturals, for example, 706483814371 + ... + 706483814429.

Almost surely, 2^{41682545049600} is an apocalyptic number.

41682545049600 is a gapful number since it is divisible by the number (40) 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 41682545049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97525344027600).

41682545049600 is an abundant number, since it is smaller than the sum of its proper divisors (153368143005600).

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

41682545049600 is an frugal number, since it uses more digits than its factorization.

41682545049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 41682545049600 in words is "forty-one trillion, six hundred eighty-two billion, five hundred forty-five million, forty-nine thousand, six hundred".