431143040000 has 330 divisors, whose sum is σ = 1114436267802. Its totient is φ = 166656000000.

The previous prime is 431143039939. The next prime is 431143040033. The reversal of 431143040000 is 40341134.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 89750573056 + 341392466944 = 299584^2 + 584288^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 615039650 + ... + 615040350.

Almost surely, 2^431143040000 is an apocalyptic number.

431143040000 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 431143040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557218133901).

431143040000 is an abundant number, since it is smaller than the sum of its proper divisors (683293227802).

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

431143040000 is an frugal number, since it uses more digits than its factorization.

431143040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 431143040000 its reverse (40341134), we get a palindrome (431183381134).

The spelling of 431143040000 in words is "four hundred thirty-one billion, one hundred forty-three million, forty thousand".