441253352144 has 80 divisors (see below), whose sum is σ = 938567011200. Its totient is φ = 199298880000.

The previous prime is 441253352083. The next prime is 441253352149.

441253352144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441253352098 and 441253352107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441253352149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44561594 + ... + 44571494.

It is an arithmetic number, because the mean of its divisors is an integer number (11732087640).

Almost surely, 2^441253352144 is an apocalyptic number.

441253352144 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 441253352144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469283505600).

441253352144 is an abundant number, since it is smaller than the sum of its proper divisors (497313659056).

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

441253352144 is a wasteful number, since it uses less digits than its factorization.

441253352144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11500 (or 11494 counting only the distinct ones).

The product of its digits is 230400, while the sum is 38.

It can be divided in two parts, 441253 and 352144, that added together give a palindrome (793397).

The spelling of 441253352144 in words is "four hundred forty-one billion, two hundred fifty-three million, three hundred fifty-two thousand, one hundred forty-four".