41012313120 has 192 divisors, whose sum is σ = 147044782080. Its totient is φ = 10669824000.

The previous prime is 41012313113. The next prime is 41012313131. The reversal of 41012313120 is 2131321014.

41012313120 is a `hidden beast` number, since 410 + 1 + 231 + 3 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41012313093 and 41012313102.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 61345 + ... + 292895.

It is an arithmetic number, because the mean of its divisors is an integer number (765858240).

Almost surely, 2^41012313120 is an apocalyptic number.

41012313120 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 41012313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73522391040).

41012313120 is an abundant number, since it is smaller than the sum of its proper divisors (106032468960).

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

41012313120 is a wasteful number, since it uses less digits than its factorization.

41012313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231616 (or 231602 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 41012313120 its reverse (2131321014), we get a palindrome (43143634134).

The spelling of 41012313120 in words is "forty-one billion, twelve million, three hundred thirteen thousand, one hundred twenty".