41130605302272 has 320 divisors, whose sum is σ = 126335619717120. Its totient is φ = 13202735616000.

The previous prime is 41130605302253. The next prime is 41130605302277. The reversal of 41130605302272 is 27220350603114.

41130605302272 is a `hidden beast` number, since 4 + 1 + 1 + 30 + 6 + 0 + 530 + 22 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (41130605302277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41717397 + ... + 42691947.

It is an arithmetic number, because the mean of its divisors is an integer number (394798811616).

Almost surely, 2^{41130605302272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41130605302272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63167809858560).

41130605302272 is an abundant number, since it is smaller than the sum of its proper divisors (85205014414848).

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

41130605302272 is an equidigital number, since it uses as much as digits as its factorization.

41130605302272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974692 (or 974670 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 41130605302272 its reverse (27220350603114), we get a palindrome (68350955905386).

The spelling of 41130605302272 in words is "forty-one trillion, one hundred thirty billion, six hundred five million, three hundred two thousand, two hundred seventy-two".