431264414200200 has 768 divisors, whose sum is σ = 1571128965120000. Its totient is φ = 95809760686080.

The previous prime is 431264414200199. The next prime is 431264414200231. The reversal of 431264414200200 is 2002414462134.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41471714601 + ... + 41471724999.

It is an arithmetic number, because the mean of its divisors is an integer number (2045740840000).

Almost surely, 2^{431264414200200} is an apocalyptic number.

431264414200200 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 431264414200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785564482560000).

431264414200200 is an abundant number, since it is smaller than the sum of its proper divisors (1139864550919800).

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

431264414200200 is a wasteful number, since it uses less digits than its factorization.

431264414200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11574 (or 11565 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 431264414200200 its reverse (2002414462134), we get a palindrome (433266828662334).

The spelling of 431264414200200 in words is "four hundred thirty-one trillion, two hundred sixty-four billion, four hundred fourteen million, two hundred thousand, two hundred".