41005431311 has 16 divisors (see below), whose sum is σ = 45396775200. Its totient is φ = 36797345280.

The previous prime is 41005431239. The next prime is 41005431329. The reversal of 41005431311 is 11313450014.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-41005431311 is a prime.

It is a super-2 number, since 2×41005431311² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41005431331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14915 + ... + 286763.

It is an arithmetic number, because the mean of its divisors is an integer number (2837298450).

Almost surely, 2^41005431311 is an apocalyptic number.

41005431311 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

41005431311 is a deficient number, since it is larger than the sum of its proper divisors (4391343889).

41005431311 is a wasteful number, since it uses less digits than its factorization.

41005431311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272186.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 41005431311 its reverse (11313450014), we get a palindrome (52318881325).

The spelling of 41005431311 in words is "forty-one billion, five million, four hundred thirty-one thousand, three hundred eleven".