41937263312112 has 720 divisors, whose sum is σ = 149839311098880. Its totient is φ = 10688191626240.

The previous prime is 41937263312111. The next prime is 41937263312129. The reversal of 41937263312112 is 21121336273914.

41937263312112 is a `hidden beast` number, since 4 + 1 + 9 + 3 + 7 + 2 + 633 + 1 + 2 + 1 + 1 + 2 = 666.

41937263312112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41937263312111) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 680956873 + ... + 681018455.

It is an arithmetic number, because the mean of its divisors is an integer number (208110154304).

Almost surely, 2^{41937263312112} is an apocalyptic number.

41937263312112 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 41937263312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74919655549440).

41937263312112 is an abundant number, since it is smaller than the sum of its proper divisors (107902047786768).

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

41937263312112 is a wasteful number, since it uses less digits than its factorization.

41937263312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61722 (or 61682 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 41937263312112 in words is "forty-one trillion, nine hundred thirty-seven billion, two hundred sixty-three million, three hundred twelve thousand, one hundred twelve".