41064371712 has 960 divisors, whose sum is σ = 157195653120. Its totient is φ = 10480803840.

The previous prime is 41064371687. The next prime is 41064371713. The reversal of 41064371712 is 21717346014.

41064371712 is a `hidden beast` number, since 4 + 1 + 0 + 643 + 7 + 1 + 7 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41064371713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1324657137 + ... + 1324657167.

It is an arithmetic number, because the mean of its divisors is an integer number (163745472).

Almost surely, 2^41064371712 is an apocalyptic number.

41064371712 is a gapful number since it is divisible by the number (42) 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 41064371712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78597826560).

41064371712 is an abundant number, since it is smaller than the sum of its proper divisors (116131281408).

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

41064371712 is an frugal number, since it uses more digits than its factorization.

41064371712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 41064371712 in words is "forty-one billion, sixty-four million, three hundred seventy-one thousand, seven hundred twelve".