1461316041 has 12 divisors (see below), whose sum is σ = 2111148468. Its totient is φ = 974045184.

The previous prime is 1461316019. The next prime is 1461316067. The reversal of 1461316041 is 1406131641.

1461316041 is a `hidden beast` number, since 1 + 4 + 613 + 1 + 6 + 0 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 702038016 + 759278025 = 26496^2 + 27555^2 .

It is not a de Polignac number, because 1461316041 - 2¹⁵ = 1461283273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1461315996 and 1461316014.

It is not an unprimeable number, because it can be changed into a prime (1461316001) 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 11 ways as a sum of consecutive naturals, for example, 67081 + ... + 86153.

It is an arithmetic number, because the mean of its divisors is an integer number (175929039).

Almost surely, 2^1461316041 is an apocalyptic number.

It is an amenable number.

1461316041 is a deficient number, since it is larger than the sum of its proper divisors (649832427).

1461316041 is a wasteful number, since it uses less digits than its factorization.

1461316041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27592 (or 27589 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1461316041 is about 38227.1636536116. The cubic root of 1461316041 is about 1134.7879544617.

Adding to 1461316041 its reverse (1406131641), we get a palindrome (2867447682).

The spelling of 1461316041 in words is "one billion, four hundred sixty-one million, three hundred sixteen thousand, forty-one".