441433303334144 has 54 divisors (see below), whose sum is σ = 968528266935810. Its totient is φ = 200651501501440.

The previous prime is 441433303334143. The next prime is 441433303334173.

441433303334144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 360668716038400 + 80764587295744 = 18991280^2 + 8986912^2 .

It is a super-2 number, since 2×441433303334144² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 441433303334095 and 441433303334104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441433303334143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7125377459 + ... + 7125439410.

Almost surely, 2^{441433303334144} is an apocalyptic number.

441433303334144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441433303334144 is an abundant number, since it is smaller than the sum of its proper divisors (527094963601666).

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

441433303334144 is a wasteful number, since it uses less digits than its factorization.

441433303334144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14250816907 (or 14250816882 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 44.

It can be divided in two parts, 44143330 and 3334144, that added together give a palindrome (47477474).

The spelling of 441433303334144 in words is "four hundred forty-one trillion, four hundred thirty-three billion, three hundred three million, three hundred thirty-four thousand, one hundred forty-four".