434116238304 has 96 divisors (see below), whose sum is σ = 1378957499136. Its totient is φ = 116737136640.

The previous prime is 434116238299. The next prime is 434116238333. The reversal of 434116238304 is 403832611434.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 18988762 + ... + 19011609.

It is an arithmetic number, because the mean of its divisors is an integer number (14364140616).

Almost surely, 2^434116238304 is an apocalyptic number.

It is an amenable number.

434116238304 is an abundant number, since it is smaller than the sum of its proper divisors (944841260832).

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

434116238304 is a wasteful number, since it uses less digits than its factorization.

434116238304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38000408 (or 38000400 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

Adding to 434116238304 its reverse (403832611434), we get a palindrome (837948849738).

The spelling of 434116238304 in words is "four hundred thirty-four billion, one hundred sixteen million, two hundred thirty-eight thousand, three hundred four".