414012120304 has 40 divisors (see below), whose sum is σ = 821500500960. Its totient is φ = 202069728000.

The previous prime is 414012120257. The next prime is 414012120311. The reversal of 414012120304 is 403021210414.

It is a happy number.

It is a super-2 number, since 2×414012120304² (a number of 24 digits) contains 22 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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1689459 + ... + 1918930.

It is an arithmetic number, because the mean of its divisors is an integer number (20537512524).

Almost surely, 2^414012120304 is an apocalyptic number.

It is an amenable number.

414012120304 is a deficient number, since it is larger than the sum of its proper divisors (407488380656).

414012120304 is a wasteful number, since it uses less digits than its factorization.

414012120304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608569 (or 3608563 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 414012120304 its reverse (403021210414), we get a palindrome (817033330718).

The spelling of 414012120304 in words is "four hundred fourteen billion, twelve million, one hundred twenty thousand, three hundred four".