431041330200 has 384 divisors, whose sum is σ = 1580623833600. Its totient is φ = 96147025920.

The previous prime is 431041330199. The next prime is 431041330217. The reversal of 431041330200 is 2033140134.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3345372 + ... + 3471828.

It is an arithmetic number, because the mean of its divisors is an integer number (4116207900).

Almost surely, 2^431041330200 is an apocalyptic number.

431041330200 is a gapful number since it is divisible by the number (40) 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 431041330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790311916800).

431041330200 is an abundant number, since it is smaller than the sum of its proper divisors (1149582503400).

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

431041330200 is a wasteful number, since it uses less digits than its factorization.

431041330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126531 (or 126522 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 431041330200 its reverse (2033140134), we get a palindrome (433074470334).

The spelling of 431041330200 in words is "four hundred thirty-one billion, forty-one million, three hundred thirty thousand, two hundred".