431344403440 has 80 divisors (see below), whose sum is σ = 1015287204960. Its totient is φ = 170409738240.

The previous prime is 431344403407. The next prime is 431344403443. The reversal of 431344403440 is 44304443134.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 431344403396 and 431344403405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431344403443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3753556 + ... + 3866764.

It is an arithmetic number, because the mean of its divisors is an integer number (12691090062).

Almost surely, 2^431344403440 is an apocalyptic number.

431344403440 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 431344403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507643602480).

431344403440 is an abundant number, since it is smaller than the sum of its proper divisors (583942801520).

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

431344403440 is a wasteful number, since it uses less digits than its factorization.

431344403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113810 (or 113804 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 431344403440 its reverse (44304443134), we get a palindrome (475648846574).

The spelling of 431344403440 in words is "four hundred thirty-one billion, three hundred forty-four million, four hundred three thousand, four hundred forty".