4431031132240 has 40 divisors (see below), whose sum is σ = 10302239130120. Its totient is φ = 1772396668416.

The previous prime is 4431031132181. The next prime is 4431031132249. The reversal of 4431031132240 is 422311301344.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 561186767376 + 3869844364864 = 749124^2 + 1967192^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4431031132199 and 4431031132208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4431031132249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13669966 + ... + 13990354.

It is an arithmetic number, because the mean of its divisors is an integer number (257555978253).

Almost surely, 2^{4431031132240} is an apocalyptic number.

4431031132240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4431031132240 is an abundant number, since it is smaller than the sum of its proper divisors (5871207997880).

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

4431031132240 is a wasteful number, since it uses less digits than its factorization.

4431031132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493279 (or 493273 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 4431031132240 its reverse (422311301344), we get a palindrome (4853342433584).

The spelling of 4431031132240 in words is "four trillion, four hundred thirty-one billion, thirty-one million, one hundred thirty-two thousand, two hundred forty".