414332143331041 has 16 divisors (see below), whose sum is σ = 473125099316688. Its totient is φ = 359449267968000.

The previous prime is 414332143331017. The next prime is 414332143331053. The reversal of 414332143331041 is 140133341233414.

It can be written as a sum of positive squares in 8 ways, for example, as 29579838400225 + 384752304930816 = 5438735^2 + 19615104^2 .

It is a cyclic number.

It is not a de Polignac number, because 414332143331041 - 2¹⁹ = 414332142806753 is a prime.

It is a super-2 number, since 2×414332143331041² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414332143331011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1337081940 + ... + 1337391781.

It is an arithmetic number, because the mean of its divisors is an integer number (29570318707293).

Almost surely, 2^{414332143331041} is an apocalyptic number.

It is an amenable number.

414332143331041 is a deficient number, since it is larger than the sum of its proper divisors (58792955985647).

414332143331041 is a wasteful number, since it uses less digits than its factorization.

414332143331041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674474452.

The product of its (nonzero) digits is 124416, while the sum is 37.

Adding to 414332143331041 its reverse (140133341233414), we get a palindrome (554465484564455).

The spelling of 414332143331041 in words is "four hundred fourteen trillion, three hundred thirty-two billion, one hundred forty-three million, three hundred thirty-one thousand, forty-one".