440101132224 has 112 divisors (see below), whose sum is σ = 1254515834880. Its totient is φ = 135360691200.

The previous prime is 440101132223. The next prime is 440101132267. The reversal of 440101132224 is 422231101044.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 440101132194 and 440101132203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440101132223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6332737 + ... + 6401855.

It is an arithmetic number, because the mean of its divisors is an integer number (11201034240).

Almost surely, 2^440101132224 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 440101132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627257917440).

440101132224 is an abundant number, since it is smaller than the sum of its proper divisors (814414702656).

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

440101132224 is a wasteful number, since it uses less digits than its factorization.

440101132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71698 (or 71688 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 440101132224 its reverse (422231101044), we get a palindrome (862332233268).

The spelling of 440101132224 in words is "four hundred forty billion, one hundred one million, one hundred thirty-two thousand, two hundred twenty-four".