434132200404 has 144 divisors (see below), whose sum is σ = 1298513099520. Its totient is φ = 119658470400.

The previous prime is 434132200393. The next prime is 434132200501. The reversal of 434132200404 is 404002231434.

It is a happy number.

434132200404 is a `hidden beast` number, since 4 + 3 + 413 + 2 + 200 + 40 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8752177 + ... + 8801639.

It is an arithmetic number, because the mean of its divisors is an integer number (9017452080).

Almost surely, 2^434132200404 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 434132200404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649256549760).

434132200404 is an abundant number, since it is smaller than the sum of its proper divisors (864380899116).

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

434132200404 is a wasteful number, since it uses less digits than its factorization.

434132200404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50710 (or 50705 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 434132200404 its reverse (404002231434), we get a palindrome (838134431838).

The spelling of 434132200404 in words is "four hundred thirty-four billion, one hundred thirty-two million, two hundred thousand, four hundred four".