434133045200 has 60 divisors (see below), whose sum is σ = 1043143493100. Its totient is φ = 173630100480.

The previous prime is 434133045197. The next prime is 434133045263. The reversal of 434133045200 is 2540331434.

It can be written as a sum of positive squares in 6 ways, for example, as 421234576 + 433711810624 = 20524^2 + 658568^2 .

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 11 ways as a sum of consecutive naturals, for example, 3111332 + ... + 3247868.

It is an arithmetic number, because the mean of its divisors is an integer number (17385724885).

Almost surely, 2^434133045200 is an apocalyptic number.

434133045200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434133045200 is an abundant number, since it is smaller than the sum of its proper divisors (609010447900).

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

434133045200 is a wasteful number, since it uses less digits than its factorization.

434133045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144504 (or 144493 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 434133045200 its reverse (2540331434), we get a palindrome (436673376634).

The spelling of 434133045200 in words is "four hundred thirty-four billion, one hundred thirty-three million, forty-five thousand, two hundred".