441553355144 has 64 divisors (see below), whose sum is σ = 910581350400. Its totient is φ = 199061755200.

The previous prime is 441553355129. The next prime is 441553355219.

441553355144 is nontrivially palindromic in base 10.

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 = 441553355095 and 441553355104.

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, 61229699 + ... + 61236909.

It is an arithmetic number, because the mean of its divisors is an integer number (14227833600).

Almost surely, 2^441553355144 is an apocalyptic number.

441553355144 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 441553355144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455290675200).

441553355144 is an abundant number, since it is smaller than the sum of its proper divisors (469027995256).

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

441553355144 is a wasteful number, since it uses less digits than its factorization.

441553355144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12834 (or 12830 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 44.

It can be divided in two parts, 441553 and 355144, that added together give a palindrome (796697).

The spelling of 441553355144 in words is "four hundred forty-one billion, five hundred fifty-three million, three hundred fifty-five thousand, one hundred forty-four".