414404414221 has 8 divisors (see below), whose sum is σ = 494196568704. Its totient is φ = 339760140720.

The previous prime is 414404414201. The next prime is 414404414317. The reversal of 414404414221 is 122414404414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 414404414221 - 2⁷ = 414404414093 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 (414404414201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1286970070 + ... + 1286970391.

It is an arithmetic number, because the mean of its divisors is an integer number (61774571088).

Almost surely, 2^414404414221 is an apocalyptic number.

It is an amenable number.

414404414221 is a deficient number, since it is larger than the sum of its proper divisors (79792154483).

414404414221 is a wasteful number, since it uses less digits than its factorization.

414404414221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573940491.

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 414404414221 its reverse (122414404414), we get a palindrome (536818818635).

The spelling of 414404414221 in words is "four hundred fourteen billion, four hundred four million, four hundred fourteen thousand, two hundred twenty-one".