434012044214300 has 72 divisors (see below), whose sum is σ = 1002777483602160. Its totient is φ = 162479960704000.

The previous prime is 434012044214293. The next prime is 434012044214347. The reversal of 434012044214300 is 3412440210434.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 712827551 + ... + 713436150.

It is an arithmetic number, because the mean of its divisors is an integer number (13927465050030).

Almost surely, 2^{434012044214300} is an apocalyptic number.

It is an amenable number.

434012044214300 is an abundant number, since it is smaller than the sum of its proper divisors (568765439387860).

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

434012044214300 is a wasteful number, since it uses less digits than its factorization.

434012044214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426263911 (or 1426263904 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 434012044214300 its reverse (3412440210434), we get a palindrome (437424484424734).

The spelling of 434012044214300 in words is "four hundred thirty-four trillion, twelve billion, forty-four million, two hundred fourteen thousand, three hundred".