414101000330 has 32 divisors (see below), whose sum is σ = 746410035024. Its totient is φ = 165412025856.

The previous prime is 414101000311. The next prime is 414101000351. The reversal of 414101000330 is 33000101414.

It can be written as a sum of positive squares in 8 ways, for example, as 227673076801 + 186427923529 = 477151^2 + 431773^2 .

It is a junction number, because it is equal to n+sod(n) for n = 414101000299 and 414101000308.

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 15 ways as a sum of consecutive naturals, for example, 41517224 + ... + 41527196.

Almost surely, 2^414101000330 is an apocalyptic number.

414101000330 is a deficient number, since it is larger than the sum of its proper divisors (332309034694).

414101000330 is a wasteful number, since it uses less digits than its factorization.

414101000330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15290.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 414101000330 its reverse (33000101414), we get a palindrome (447101101744).

The spelling of 414101000330 in words is "four hundred fourteen billion, one hundred one million, three hundred thirty", and thus it is an aban number.