434443002114 has 96 divisors (see below), whose sum is σ = 963491155200. Its totient is φ = 130491900000.

The previous prime is 434443002109. The next prime is 434443002143. The reversal of 434443002114 is 411200344434.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38444037 + ... + 38455335.

It is an arithmetic number, because the mean of its divisors is an integer number (10036366200).

Almost surely, 2^434443002114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434443002114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481745577600).

434443002114 is an abundant number, since it is smaller than the sum of its proper divisors (529048153086).

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

434443002114 is a wasteful number, since it uses less digits than its factorization.

434443002114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11788 (or 11777 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 434443002114 its reverse (411200344434), we get a palindrome (845643346548).

The spelling of 434443002114 in words is "four hundred thirty-four billion, four hundred forty-three million, two thousand, one hundred fourteen".