440414320032 has 144 divisors (see below), whose sum is σ = 1270820311488. Its totient is φ = 144651386880.

The previous prime is 440414320013. The next prime is 440414320037. The reversal of 440414320032 is 230023414044.

It is a happy number.

440414320032 is a `hidden beast` number, since 4 + 40 + 414 + 3 + 200 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 440414319978 and 440414320005.

It is not an unprimeable number, because it can be changed into a prime (440414320037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40951968 + ... + 40962720.

It is an arithmetic number, because the mean of its divisors is an integer number (8825141052).

Almost surely, 2^440414320032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440414320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635410155744).

440414320032 is an abundant number, since it is smaller than the sum of its proper divisors (830405991456).

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

440414320032 is a wasteful number, since it uses less digits than its factorization.

440414320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12843 (or 12832 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 440414320032 its reverse (230023414044), we get a palindrome (670437734076).

The spelling of 440414320032 in words is "four hundred forty billion, four hundred fourteen million, three hundred twenty thousand, thirty-two".