434202202434 has 192 divisors, whose sum is σ = 1202131510272. Its totient is φ = 101682725760.

The previous prime is 434202202411. The next prime is 434202202439.

434202202434 is nontrivially palindromic in base 10.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (434202202439) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2764417 + ... + 2917259.

It is an arithmetic number, because the mean of its divisors is an integer number (6261101616).

Almost surely, 2^434202202434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434202202434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601065755136).

434202202434 is an abundant number, since it is smaller than the sum of its proper divisors (767929307838).

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

434202202434 is a wasteful number, since it uses less digits than its factorization.

434202202434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152933 (or 152922 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 434202 and 202434, that added together give a palindrome (636636).

The spelling of 434202202434 in words is "four hundred thirty-four billion, two hundred two million, two hundred two thousand, four hundred thirty-four".