434122343144 has 128 divisors (see below), whose sum is σ = 1016150400000. Its totient is φ = 173271510720.

The previous prime is 434122343131. The next prime is 434122343189. The reversal of 434122343144 is 441343221434.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3005459 + ... + 3146589.

It is an arithmetic number, because the mean of its divisors is an integer number (7938675000).

Almost surely, 2^434122343144 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 434122343144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508075200000).

434122343144 is an abundant number, since it is smaller than the sum of its proper divisors (582028056856).

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

434122343144 is a wasteful number, since it uses less digits than its factorization.

434122343144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141236 (or 141218 counting only the distinct ones).

The product of its digits is 110592, while the sum is 35.

Adding to 434122343144 its reverse (441343221434), we get a palindrome (875465564578).

The spelling of 434122343144 in words is "four hundred thirty-four billion, one hundred twenty-two million, three hundred forty-three thousand, one hundred forty-four".