413034414221 has 32 divisors (see below), whose sum is σ = 513979603200. Its totient is φ = 326091617280.

The previous prime is 413034414209. The next prime is 413034414227. The reversal of 413034414221 is 122414430314.

It is a de Polignac number, because none of the positive numbers 2^k-413034414221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413034414227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6749600 + ... + 6810518.

It is an arithmetic number, because the mean of its divisors is an integer number (16061862600).

Almost surely, 2^413034414221 is an apocalyptic number.

It is an amenable number.

413034414221 is a deficient number, since it is larger than the sum of its proper divisors (100945188979).

413034414221 is a wasteful number, since it uses less digits than its factorization.

413034414221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63749.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 413034414221 its reverse (122414430314), we get a palindrome (535448844535).

The spelling of 413034414221 in words is "four hundred thirteen billion, thirty-four million, four hundred fourteen thousand, two hundred twenty-one".