414400000304 has 40 divisors (see below), whose sum is σ = 812679203952. Its totient is φ = 204676985600.

The previous prime is 414400000279. The next prime is 414400000349. The reversal of 414400000304 is 403000004414.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13664582 + ... + 13694874.

Almost surely, 2^414400000304 is an apocalyptic number.

It is an amenable number.

414400000304 is a deficient number, since it is larger than the sum of its proper divisors (398279203648).

414400000304 is a wasteful number, since it uses less digits than its factorization.

414400000304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40685 (or 40679 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 414400000304 its reverse (403000004414), we get a palindrome (817400004718).

The spelling of 414400000304 in words is "four hundred fourteen billion, four hundred million, three hundred four", and thus it is an aban number.