434144442144 has 288 divisors, whose sum is σ = 1370515894272. Its totient is φ = 119859264000.

The previous prime is 434144442143. The next prime is 434144442191. The reversal of 434144442144 is 441244441434.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (434144442143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118261429 + ... + 118265099.

It is an arithmetic number, because the mean of its divisors is an integer number (4758735744).

Almost surely, 2^434144442144 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 434144442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685257947136).

434144442144 is an abundant number, since it is smaller than the sum of its proper divisors (936371452128).

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

434144442144 is a wasteful number, since it uses less digits than its factorization.

434144442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4540 (or 4525 counting only the distinct ones).

The product of its digits is 393216, while the sum is 39.

Adding to 434144442144 its reverse (441244441434), we get a palindrome (875388883578).

The spelling of 434144442144 in words is "four hundred thirty-four billion, one hundred forty-four million, four hundred forty-two thousand, one hundred forty-four".