41034113212120 has 384 divisors, whose sum is σ = 110097445916160. Its totient is φ = 13721334681600.

The previous prime is 41034113212019. The next prime is 41034113212151. The reversal of 41034113212120 is 2121231143014.

It is a super-2 number, since 2×41034113212120² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3578446627 + ... + 3578458093.

It is an arithmetic number, because the mean of its divisors is an integer number (286712098740).

Almost surely, 2^{41034113212120} is an apocalyptic number.

41034113212120 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 41034113212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55048722958080).

41034113212120 is an abundant number, since it is smaller than the sum of its proper divisors (69063332704040).

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

41034113212120 is a wasteful number, since it uses less digits than its factorization.

41034113212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11863 (or 11852 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 41034113212120 its reverse (2121231143014), we get a palindrome (43155344355134).

The spelling of 41034113212120 in words is "forty-one trillion, thirty-four billion, one hundred thirteen million, two hundred twelve thousand, one hundred twenty".