41064073656000 has 224 divisors, whose sum is σ = 135617444751360. Its totient is φ = 10948491648000.

The previous prime is 41064073655933. The next prime is 41064073656049. The reversal of 41064073656000 is 65637046014.

41064073656000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138836271 + ... + 139131729.

Almost surely, 2^{41064073656000} is an apocalyptic number.

41064073656000 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 41064073656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67808722375680).

41064073656000 is an abundant number, since it is smaller than the sum of its proper divisors (94553371095360).

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

41064073656000 is a wasteful number, since it uses less digits than its factorization.

41064073656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301280 (or 301260 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 41064073656000 in words is "forty-one trillion, sixty-four billion, seventy-three million, six hundred fifty-six thousand".