40001041 has 2 divisors, whose sum is σ = 40001042. Its totient is φ = 40001040.

The previous prime is 40001021. The next prime is 40001057. The reversal of 40001041 is 14010004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26050816 + 13950225 = 5104^2 + 3735^2 .

It is a cyclic number.

It is not a de Polignac number, because 40001041 - 2¹⁷ = 39869969 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (40001021) 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 as a sum of consecutive naturals, namely, 20000520 + 20000521.

It is an arithmetic number, because the mean of its divisors is an integer number (20000521).

Almost surely, 2^40001041 is an apocalyptic number.

It is an amenable number.

40001041 is a deficient number, since it is larger than the sum of its proper divisors (1).

40001041 is an equidigital number, since it uses as much as digits as its factorization.

40001041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 40001041 is about 6324.6376180774. The cubic root of 40001041 is about 341.9981561179.

Adding to 40001041 its reverse (14010004), we get a palindrome (54011045).

It can be divided in two parts, 4000 and 1041, that added together give a square (5041 = 71²).

The spelling of 40001041 in words is "forty million, one thousand, forty-one".