41673431457 has 72 divisors (see below), whose sum is σ = 74463012936. Its totient is φ = 22315474944.

The previous prime is 41673431453. The next prime is 41673431479. The reversal of 41673431457 is 75413437614.

41673431457 is a `hidden beast` number, since 4 + 167 + 3 + 4 + 31 + 457 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 444535056 + 41228896401 = 21084^2 + 203049^2 .

It is not a de Polignac number, because 41673431457 - 2² = 41673431453 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41673431453) 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 71 ways as a sum of consecutive naturals, for example, 1734873 + ... + 1758729.

It is an arithmetic number, because the mean of its divisors is an integer number (1034208513).

Almost surely, 2^41673431457 is an apocalyptic number.

It is an amenable number.

41673431457 is a deficient number, since it is larger than the sum of its proper divisors (32789581479).

41673431457 is a wasteful number, since it uses less digits than its factorization.

41673431457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24127 (or 24117 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 41673431457 in words is "forty-one billion, six hundred seventy-three million, four hundred thirty-one thousand, four hundred fifty-seven".