4431140440 has 128 divisors (see below), whose sum is σ = 11063070720. Its totient is φ = 1588787200.

The previous prime is 4431140431. The next prime is 4431140447. The reversal of 4431140440 is 440411344.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4431140447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4863585 + ... + 4864495.

It is an arithmetic number, because the mean of its divisors is an integer number (86430240).

Almost surely, 2^4431140440 is an apocalyptic number.

4431140440 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 4431140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5531535360).

4431140440 is an abundant number, since it is smaller than the sum of its proper divisors (6631930280).

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

4431140440 is a wasteful number, since it uses less digits than its factorization.

4431140440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 4431140440 is about 66566.8118509517. The cubic root of 4431140440 is about 1642.4992184232.

Adding to 4431140440 its reverse (440411344), we get a palindrome (4871551784).

The spelling of 4431140440 in words is "four billion, four hundred thirty-one million, one hundred forty thousand, four hundred forty".