414011101322041 has 8 divisors (see below), whose sum is σ = 419686620752520. Its totient is φ = 408335693634432.

The previous prime is 414011101321997. The next prime is 414011101322047. The reversal of 414011101322041 is 140223101110414.

It can be written as a sum of positive squares in 4 ways, for example, as 828400327225 + 413182700994816 = 910165^2 + 20326896^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414011101322041 - 2¹⁷ = 414011101190969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414011101321997 and 414011101322015.

It is not an unprimeable number, because it can be changed into a prime (414011101322047) 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 7 ways as a sum of consecutive naturals, for example, 20461246 + ... + 35308423.

It is an arithmetic number, because the mean of its divisors is an integer number (52460827594065).

Almost surely, 2^{414011101322041} is an apocalyptic number.

It is an amenable number.

414011101322041 is a deficient number, since it is larger than the sum of its proper divisors (5675519430479).

414011101322041 is a wasteful number, since it uses less digits than its factorization.

414011101322041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55871435.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 414011101322041 its reverse (140223101110414), we get a palindrome (554234202432455).

The spelling of 414011101322041 in words is "four hundred fourteen trillion, eleven billion, one hundred one million, three hundred twenty-two thousand, forty-one".