434133320120 has 32 divisors (see below), whose sum is σ = 981914123520. Its totient is φ = 172744145280.

The previous prime is 434133320099. The next prime is 434133320129. The reversal of 434133320120 is 21023331434.

It is a self number, because there is not a number n which added to its sum of digits gives 434133320120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434133320129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 28404227 + ... + 28419506.

It is an arithmetic number, because the mean of its divisors is an integer number (30684816360).

Almost surely, 2^434133320120 is an apocalyptic number.

434133320120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434133320120 is an abundant number, since it is smaller than the sum of its proper divisors (547780803400).

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

434133320120 is a wasteful number, since it uses less digits than its factorization.

434133320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56823935 (or 56823931 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 434133320120 its reverse (21023331434), we get a palindrome (455156651554).

The spelling of 434133320120 in words is "four hundred thirty-four billion, one hundred thirty-three million, three hundred twenty thousand, one hundred twenty".