414041412303 has 24 divisors (see below), whose sum is σ = 605895404400. Its totient is φ = 272430895104.

The previous prime is 414041412299. The next prime is 414041412331. The reversal of 414041412303 is 303214140414.

414041412303 is a `hidden beast` number, since 4 + 14 + 0 + 414 + 1 + 230 + 3 = 666.

It is not a de Polignac number, because 414041412303 - 2² = 414041412299 is a prime.

It is a super-2 number, since 2×414041412303² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414041412803) 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 in 23 ways as a sum of consecutive naturals, for example, 569013 + ... + 1073246.

It is an arithmetic number, because the mean of its divisors is an integer number (25245641850).

Almost surely, 2^414041412303 is an apocalyptic number.

414041412303 is a deficient number, since it is larger than the sum of its proper divisors (191853992097).

414041412303 is a wasteful number, since it uses less digits than its factorization.

414041412303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642631 (or 1642628 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 414041412303 its reverse (303214140414), we get a palindrome (717255552717).

The spelling of 414041412303 in words is "four hundred fourteen billion, forty-one million, four hundred twelve thousand, three hundred three".