440232042432 has 672 divisors, whose sum is σ = 1592924009472. Its totient is φ = 104503246848.

The previous prime is 440232042407. The next prime is 440232042473. The reversal of 440232042432 is 234240232044.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 440232042432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88807698 + ... + 88812654.

Almost surely, 2^440232042432 is an apocalyptic number.

440232042432 is a gapful number since it is divisible by the number (42) 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 440232042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796462004736).

440232042432 is an abundant number, since it is smaller than the sum of its proper divisors (1152691967040).

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

440232042432 is a wasteful number, since it uses less digits than its factorization.

440232042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5045 (or 5022 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 440232042432 its reverse (234240232044), we get a palindrome (674472274476).

The spelling of 440232042432 in words is "four hundred forty billion, two hundred thirty-two million, forty-two thousand, four hundred thirty-two".