110400041 has 2 divisors, whose sum is σ = 110400042. Its totient is φ = 110400040.

The previous prime is 110400019. The next prime is 110400061. The reversal of 110400041 is 140004011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55950400 + 54449641 = 7480^2 + 7379^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110400041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110399995 and 110400031.

It is not a weakly prime, because it can be changed into another prime (110400001) 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, 55200020 + 55200021.

It is an arithmetic number, because the mean of its divisors is an integer number (55200021).

Almost surely, 2^110400041 is an apocalyptic number.

It is an amenable number.

110400041 is a deficient number, since it is larger than the sum of its proper divisors (1).

110400041 is an equidigital number, since it uses as much as digits as its factorization.

110400041 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 11.

The square root of 110400041 is about 10507.1423803049. The cubic root of 110400041 is about 479.7221207018.

Adding to 110400041 its reverse (140004011), we get a palindrome (250404052).

The spelling of 110400041 in words is "one hundred ten million, four hundred thousand, forty-one".