41534164226304 has 324 divisors, whose sum is σ = 126699361329996. Its totient is φ = 13583471136768.

The previous prime is 41534164226287. The next prime is 41534164226309. The reversal of 41534164226304 is 40362246143514.

41534164226304 is a `hidden beast` number, since 4 + 1 + 5 + 3 + 4 + 1 + 6 + 4 + 2 + 2 + 630 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35232297062400 + 6301867163904 = 5935680^2 + 2510352^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is a self number, because there is not a number n which added to its sum of digits gives 41534164226304.

It is not an unprimeable number, because it can be changed into a prime (41534164226309) 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 35 ways as a sum of consecutive naturals, for example, 88786362 + ... + 89252934.

Almost surely, 2^{41534164226304} 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 41534164226304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63349680664998).

41534164226304 is an abundant number, since it is smaller than the sum of its proper divisors (85165197103692).

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

41534164226304 is an frugal number, since it uses more digits than its factorization.

41534164226304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466666 (or 466631 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 41534164226304 in words is "forty-one trillion, five hundred thirty-four billion, one hundred sixty-four million, two hundred twenty-six thousand, three hundred four".