414304314242 has 48 divisors (see below), whose sum is σ = 802510104960. Its totient is φ = 156774473856.

The previous prime is 414304314233. The next prime is 414304314251. The reversal of 414304314242 is 242413403414.

It is an interprime number because it is at equal distance from previous prime (414304314233) and next prime (414304314251).

It is a super-3 number, since 3×414304314242³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414304314199 and 414304314208.

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 23 ways as a sum of consecutive naturals, for example, 3752267 + ... + 3861102.

It is an arithmetic number, because the mean of its divisors is an integer number (16718960520).

Almost surely, 2^414304314242 is an apocalyptic number.

414304314242 is a deficient number, since it is larger than the sum of its proper divisors (388205790718).

414304314242 is a wasteful number, since it uses less digits than its factorization.

414304314242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7613427 (or 7613414 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 414304314242 its reverse (242413403414), we get a palindrome (656717717656).

The spelling of 414304314242 in words is "four hundred fourteen billion, three hundred four million, three hundred fourteen thousand, two hundred forty-two".