434122342432 has 72 divisors (see below), whose sum is σ = 874786594500. Its totient is φ = 212061219840.

The previous prime is 434122342411. The next prime is 434122342453. The reversal of 434122342432 is 234243221434.

It is an interprime number because it is at equal distance from previous prime (434122342411) and next prime (434122342453).

It can be written as a sum of positive squares in 6 ways, for example, as 23297748496 + 410824593936 = 152636^2 + 640956^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17729494 + ... + 17753962.

Almost surely, 2^434122342432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434122342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437393297250).

434122342432 is an abundant number, since it is smaller than the sum of its proper divisors (440664252068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434122342432 is a wasteful number, since it uses less digits than its factorization.

434122342432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24750 (or 24681 counting only the distinct ones).

The product of its digits is 110592, while the sum is 34.

Adding to 434122342432 its reverse (234243221434), we get a palindrome (668365563866).

The spelling of 434122342432 in words is "four hundred thirty-four billion, one hundred twenty-two million, three hundred forty-two thousand, four hundred thirty-two".