440243432240 has 160 divisors (see below), whose sum is σ = 1123004313600. Its totient is φ = 159878292480.

The previous prime is 440243432227. The next prime is 440243432281. The reversal of 440243432240 is 42234342044.

It is a junction number, because it is equal to n+sod(n) for n = 440243432197 and 440243432206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4808006 + ... + 4898714.

It is an arithmetic number, because the mean of its divisors is an integer number (7018776960).

Almost surely, 2^440243432240 is an apocalyptic number.

440243432240 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 440243432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561502156800).

440243432240 is an abundant number, since it is smaller than the sum of its proper divisors (682760881360).

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

440243432240 is a wasteful number, since it uses less digits than its factorization.

440243432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90875 (or 90869 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 440243432240 its reverse (42234342044), we get a palindrome (482477774284).

The spelling of 440243432240 in words is "four hundred forty billion, two hundred forty-three million, four hundred thirty-two thousand, two hundred forty".