1004040041 has 2 divisors, whose sum is σ = 1004040042. Its totient is φ = 1004040040.

The previous prime is 1004040031. The next prime is 1004040049. The reversal of 1004040041 is 1400404001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 993825625 + 10214416 = 31525^2 + 3196^2 .

It is a cyclic number.

It is not a de Polignac number, because 1004040041 - 2⁶ = 1004039977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1004039998 and 1004040025.

It is not a weakly prime, because it can be changed into another prime (1004040049) 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 as a sum of consecutive naturals, namely, 502020020 + 502020021.

It is an arithmetic number, because the mean of its divisors is an integer number (502020021).

Almost surely, 2^1004040041 is an apocalyptic number.

It is an amenable number.

1004040041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004040041 is an equidigital number, since it uses as much as digits as its factorization.

1004040041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1004040041 is about 31686.5908705875. The cubic root of 1004040041 is about 1001.3448708449.

Adding to 1004040041 its reverse (1400404001), we get a palindrome (2404444042).

The spelling of 1004040041 in words is "one billion, four million, forty thousand, forty-one".