431344000000 has 154 divisors (see below), whose sum is σ = 1077859640720. Its totient is φ = 172531200000.

The previous prime is 431343999967. The next prime is 431344000001. The reversal of 431344000000 is 443134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431344000001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15986521 + ... + 16013479.

Almost surely, 2^431344000000 is an apocalyptic number.

431344000000 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 431344000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538929820360).

431344000000 is an abundant number, since it is smaller than the sum of its proper divisors (646515640720).

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

431344000000 is an frugal number, since it uses more digits than its factorization.

431344000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27009 (or 26966 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 431344000000 its reverse (443134), we get a palindrome (431344443134).

The spelling of 431344000000 in words is "four hundred thirty-one billion, three hundred forty-four million", and thus it is an aban number.