431140431200 has 144 divisors (see below), whose sum is σ = 1063484120160. Its totient is φ = 170663915520.

The previous prime is 431140431191. The next prime is 431140431223. The reversal of 431140431200 is 2134041134.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84319844 + ... + 84324956.

It is an arithmetic number, because the mean of its divisors is an integer number (7385306390).

Almost surely, 2^431140431200 is an apocalyptic number.

431140431200 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 431140431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531742060080).

431140431200 is an abundant number, since it is smaller than the sum of its proper divisors (632343688960).

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

431140431200 is a wasteful number, since it uses less digits than its factorization.

431140431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6209 (or 6196 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 431140431200 its reverse (2134041134), we get a palindrome (433274472334).

The spelling of 431140431200 in words is "four hundred thirty-one billion, one hundred forty million, four hundred thirty-one thousand, two hundred".