441223472340 has 216 divisors, whose sum is σ = 1558005288840. Its totient is φ = 100778743296.

The previous prime is 441223472329. The next prime is 441223472341. The reversal of 441223472340 is 43274322144.

441223472340 is a `hidden beast` number, since 4 + 4 + 12 + 234 + 72 + 340 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82216386756 + 359007085584 = 286734^2 + 599172^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 441223472295 and 441223472304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441223472341) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12798246 + ... + 12832674.

Almost surely, 2^441223472340 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 441223472340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779002644420).

441223472340 is an abundant number, since it is smaller than the sum of its proper divisors (1116781816500).

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

441223472340 is a wasteful number, since it uses less digits than its factorization.

441223472340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35911 (or 35899 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

Adding to 441223472340 its reverse (43274322144), we get a palindrome (484497794484).

The spelling of 441223472340 in words is "four hundred forty-one billion, two hundred twenty-three million, four hundred seventy-two thousand, three hundred forty".