434134334304 has 144 divisors (see below), whose sum is σ = 1369630866240. Its totient is φ = 129326042880.

The previous prime is 434134334299. The next prime is 434134334339. The reversal of 434134334304 is 403433431434.

434134334304 is a `hidden beast` number, since 4 + 3 + 4 + 1 + 343 + 3 + 4 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 974422 + ... + 1348245.

It is an arithmetic number, because the mean of its divisors is an integer number (9511325460).

Almost surely, 2^434134334304 is an apocalyptic number.

434134334304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

434134334304 is an abundant number, since it is smaller than the sum of its proper divisors (935496531936).

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

434134334304 is a wasteful number, since it uses less digits than its factorization.

434134334304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322753 (or 2322742 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 434134334304 its reverse (403433431434), we get a palindrome (837567765738).

The spelling of 434134334304 in words is "four hundred thirty-four billion, one hundred thirty-four million, three hundred thirty-four thousand, three hundred four".