441424000424144 has 20 divisors (see below), whose sum is σ = 892444174771296. Its totient is φ = 211115826289632.

The previous prime is 441424000424101. The next prime is 441424000424171.

441424000424144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441424000424098 and 441424000424107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 599760869774 + ... + 599760870509.

Almost surely, 2^{441424000424144} is an apocalyptic number.

It is an amenable number.

441424000424144 is an abundant number, since it is smaller than the sum of its proper divisors (451020174347152).

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

441424000424144 is a wasteful number, since it uses less digits than its factorization.

441424000424144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199521740314 (or 1199521740308 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 38.

It can be divided in two parts, 441424000 and 424144, that added together give a palindrome (441848144).

The spelling of 441424000424144 in words is "four hundred forty-one trillion, four hundred twenty-four billion, four hundred twenty-four thousand, one hundred forty-four".