114041041 has 9 divisors (see below), whose sum is σ = 116651163. Its totient is φ = 111488760.

The previous prime is 114041027. The next prime is 114041051. The reversal of 114041041 is 140140411.

The square root of 114041041 is 10679.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1256641 + 112784400 = 1121^2 + 10620^2 .

It is not a de Polignac number, because 114041041 - 2¹⁷ = 113909969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114041051) 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 in 8 ways as a sum of consecutive naturals, for example, 629971 + ... + 630151.

Almost surely, 2^114041041 is an apocalyptic number.

114041041 is the 10679-th square number.

114041041 is the 5340-th centered octagonal number.

It is an amenable number.

114041041 is a deficient number, since it is larger than the sum of its proper divisors (2610122).

114041041 is an frugal number, since it uses more digits than its factorization.

114041041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The cubic root of 114041041 is about 484.9389387116.

Multiplying 114041041 by its sum of digits (16), we get a square (1824656656 = 42716²).

Multiplying 114041041 by its product of nonzero digits (64), we get a square (7298626624 = 85432²).

Adding to 114041041 its reverse (140140411), we get a palindrome (254181452).

The spelling of 114041041 in words is "one hundred fourteen million, forty-one thousand, forty-one".