440004414304 has 144 divisors (see below), whose sum is σ = 1106606914560. Its totient is φ = 168452144640.

The previous prime is 440004414277. The next prime is 440004414323. The reversal of 440004414304 is 403414400044.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 986067 + ... + 1361005.

It is an arithmetic number, because the mean of its divisors is an integer number (7684770240).

Almost surely, 2^440004414304 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 440004414304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553303457280).

440004414304 is an abundant number, since it is smaller than the sum of its proper divisors (666602500256).

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

440004414304 is a wasteful number, since it uses less digits than its factorization.

440004414304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375013 (or 374992 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 440004414304 its reverse (403414400044), we get a palindrome (843418814348).

The spelling of 440004414304 in words is "four hundred forty billion, four million, four hundred fourteen thousand, three hundred four".