411226432641 has 24 divisors (see below), whose sum is σ = 598449186504. Its totient is φ = 272095395840.

The previous prime is 411226432627. The next prime is 411226432657. The reversal of 411226432641 is 146234622114.

411226432641 is a `hidden beast` number, since 4 + 1 + 1 + 2 + 2 + 6 + 4 + 3 + 2 + 641 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73601519616 + 337624913025 = 271296^2 + 581055^2 .

It is not a de Polignac number, because 411226432641 - 2²⁷ = 411092214913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 411226432596 and 411226432605.

It is not an unprimeable number, because it can be changed into a prime (411226432241) 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 23 ways as a sum of consecutive naturals, for example, 6678105 + ... + 6739401.

It is an arithmetic number, because the mean of its divisors is an integer number (24935382771).

Almost surely, 2^411226432641 is an apocalyptic number.

It is an amenable number.

411226432641 is a deficient number, since it is larger than the sum of its proper divisors (187222753863).

411226432641 is a wasteful number, since it uses less digits than its factorization.

411226432641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66881 (or 66878 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 411226432641 in words is "four hundred eleven billion, two hundred twenty-six million, four hundred thirty-two thousand, six hundred forty-one".