414120224312 has 16 divisors (see below), whose sum is σ = 810235221840. Its totient is φ = 198057498496.

The previous prime is 414120224267. The next prime is 414120224347. The reversal of 414120224312 is 213422021414.

It is a super-3 number, since 3×414120224312³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1125326513 + ... + 1125326880.

It is an arithmetic number, because the mean of its divisors is an integer number (50639701365).

Almost surely, 2^414120224312 is an apocalyptic number.

It is an amenable number.

414120224312 is a deficient number, since it is larger than the sum of its proper divisors (396114997528).

414120224312 is a wasteful number, since it uses less digits than its factorization.

414120224312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250653422 (or 2250653418 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 414120224312 its reverse (213422021414), we get a palindrome (627542245726).

The spelling of 414120224312 in words is "four hundred fourteen billion, one hundred twenty million, two hundred twenty-four thousand, three hundred twelve".