12434431040304 has 640 divisors, whose sum is σ = 41009128581120. Its totient is φ = 3159075520512.

The previous prime is 12434431040287. The next prime is 12434431040363. The reversal of 12434431040304 is 40304013443421.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8350859592 + ... + 8350861080.

It is an arithmetic number, because the mean of its divisors is an integer number (64076763408).

Almost surely, 2^{12434431040304} is an apocalyptic number.

12434431040304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12434431040304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20504564290560).

12434431040304 is an abundant number, since it is smaller than the sum of its proper divisors (28574697540816).

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

12434431040304 is a wasteful number, since it uses less digits than its factorization.

12434431040304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 12434431040304 its reverse (40304013443421), we get a palindrome (52738444483725).

The spelling of 12434431040304 in words is "twelve trillion, four hundred thirty-four billion, four hundred thirty-one million, forty thousand, three hundred four".