411541641 has 84 divisors (see below), whose sum is σ = 737893044. Its totient is φ = 228614400.

The previous prime is 411541619. The next prime is 411541649. The reversal of 411541641 is 146145114.

411541641 is a `hidden beast` number, since 4 + 1 + 15 + 4 + 1 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 128595600 + 282946041 = 11340^2 + 16821^2 .

It is not a de Polignac number, because 411541641 - 2¹⁰ = 411540617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (411541649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1464421 + ... + 1464701.

It is an arithmetic number, because the mean of its divisors is an integer number (8784441).

Almost surely, 2^411541641 is an apocalyptic number.

411541641 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

411541641 is a deficient number, since it is larger than the sum of its proper divisors (326351403).

411541641 is an equidigital number, since it uses as much as digits as its factorization.

411541641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 332 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 411541641 is about 20286.4891245380. The cubic root of 411541641 is about 743.8258404785.

Adding to 411541641 its reverse (146145114), we get a palindrome (557686755).

The spelling of 411541641 in words is "four hundred eleven million, five hundred forty-one thousand, six hundred forty-one".