441441014004 has 36 divisors (see below), whose sum is σ = 1116662528800. Its totient is φ = 147041807760.

The previous prime is 441441013997. The next prime is 441441014093. The reversal of 441441014004 is 400410144144.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×441441014004² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4332142 + ... + 4432869.

Almost surely, 2^441441014004 is an apocalyptic number.

It is an amenable number.

441441014004 is an abundant number, since it is smaller than the sum of its proper divisors (675221514796).

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

441441014004 is a wasteful number, since it uses less digits than its factorization.

441441014004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8766420 (or 8766415 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 441441014004 its reverse (400410144144), we get a palindrome (841851158148).

The spelling of 441441014004 in words is "four hundred forty-one billion, four hundred forty-one million, fourteen thousand, four".