434404022044221 has 96 divisors (see below), whose sum is σ = 677302075607040. Its totient is φ = 267655545590400.

The previous prime is 434404022044211. The next prime is 434404022044309. The reversal of 434404022044221 is 122440220404434.

434404022044221 is a `hidden beast` number, since 4 + 3 + 4 + 4 + 0 + 4 + 0 + 220 + 4 + 422 + 1 = 666.

It is not a de Polignac number, because 434404022044221 - 2⁷ = 434404022044093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434404022044211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 303002086 + ... + 304432376.

It is an arithmetic number, because the mean of its divisors is an integer number (7055229954240).

Almost surely, 2^{434404022044221} is an apocalyptic number.

It is an amenable number.

434404022044221 is a deficient number, since it is larger than the sum of its proper divisors (242898053562819).

434404022044221 is a wasteful number, since it uses less digits than its factorization.

434404022044221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430807 (or 1430804 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 434404022044221 its reverse (122440220404434), we get a palindrome (556844242448655).

The spelling of 434404022044221 in words is "four hundred thirty-four trillion, four hundred four billion, twenty-two million, forty-four thousand, two hundred twenty-one".