434120214300 has 144 divisors (see below), whose sum is σ = 1262714514432. Its totient is φ = 115153228800.

The previous prime is 434120214293. The next prime is 434120214301. The reversal of 434120214300 is 3412021434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434120214301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45070485 + ... + 45080115.

Almost surely, 2^434120214300 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 434120214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631357257216).

434120214300 is an abundant number, since it is smaller than the sum of its proper divisors (828594300132).

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

434120214300 is a wasteful number, since it uses less digits than its factorization.

434120214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10428 (or 10421 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 434120214300 its reverse (3412021434), we get a palindrome (437532235734).

The spelling of 434120214300 in words is "four hundred thirty-four billion, one hundred twenty million, two hundred fourteen thousand, three hundred".