434430101144 has 128 divisors (see below), whose sum is σ = 951211356480. Its totient is φ = 184168857600.

The previous prime is 434430101143. The next prime is 434430101153. The reversal of 434430101144 is 441101034434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434430101143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177970964 + ... + 177973404.

Almost surely, 2^434430101144 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 434430101144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475605678240).

434430101144 is an abundant number, since it is smaller than the sum of its proper divisors (516781255336).

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

434430101144 is a wasteful number, since it uses less digits than its factorization.

434430101144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4861 (or 4857 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 434430101144 its reverse (441101034434), we get a palindrome (875531135578).

The spelling of 434430101144 in words is "four hundred thirty-four billion, four hundred thirty million, one hundred one thousand, one hundred forty-four".