434022344001 has 12 divisors (see below), whose sum is σ = 627677412180. Its totient is φ = 288999191520.

The previous prime is 434022343957. The next prime is 434022344027. The reversal of 434022344001 is 100443220434.

It is a happy number.

434022344001 is a `hidden beast` number, since 4 + 34 + 0 + 223 + 4 + 400 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 337067330625 + 96955013376 = 580575^2 + 311376^2 .

It is not a de Polignac number, because 434022344001 - 2¹³ = 434022335809 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (434022344101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29078610 + ... + 29093531.

It is an arithmetic number, because the mean of its divisors is an integer number (52306451015).

Almost surely, 2^434022344001 is an apocalyptic number.

It is an amenable number.

434022344001 is a deficient number, since it is larger than the sum of its proper divisors (193655068179).

434022344001 is a wasteful number, since it uses less digits than its factorization.

434022344001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58172976 (or 58172973 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 434022344001 its reverse (100443220434), we get a palindrome (534465564435).

The spelling of 434022344001 in words is "four hundred thirty-four billion, twenty-two million, three hundred forty-four thousand, one".