441434434144 has 192 divisors, whose sum is σ = 970605296640. Its totient is φ = 197597452800.

The previous prime is 441434434057. The next prime is 441434434151.

441434434144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441434434097 and 441434434106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1024209609 + ... + 1024210039.

It is an arithmetic number, because the mean of its divisors is an integer number (5055235920).

Almost surely, 2^441434434144 is an apocalyptic number.

441434434144 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 441434434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485302648320).

441434434144 is an abundant number, since it is smaller than the sum of its proper divisors (529170862496).

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

441434434144 is a wasteful number, since it uses less digits than its factorization.

441434434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 756 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

It can be divided in two parts, 441434 and 434144, that added together give a palindrome (875578).

The spelling of 441434434144 in words is "four hundred forty-one billion, four hundred thirty-four million, four hundred thirty-four thousand, one hundred forty-four".