441147246144 has 112 divisors (see below), whose sum is σ = 1273956807936. Its totient is φ = 133613222400.

The previous prime is 441147246139. The next prime is 441147246157. The reversal of 441147246144 is 441642741144.

It is a happy number.

It is a super-2 number, since 2×441147246144² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 441147246096 and 441147246105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4195299 + ... + 4299165.

Almost surely, 2^441147246144 is an apocalyptic number.

441147246144 is a gapful number since it is divisible by the number (44) 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 441147246144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636978403968).

441147246144 is an abundant number, since it is smaller than the sum of its proper divisors (832809561792).

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

441147246144 is a wasteful number, since it uses less digits than its factorization.

441147246144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105904 (or 105894 counting only the distinct ones).

The product of its digits is 344064, while the sum is 42.

Adding to 441147246144 its reverse (441642741144), we get a palindrome (882789987288).

The spelling of 441147246144 in words is "four hundred forty-one billion, one hundred forty-seven million, two hundred forty-six thousand, one hundred forty-four".