441403330004 has 96 divisors (see below), whose sum is σ = 970162405632. Its totient is φ = 171072000000.

The previous prime is 441403329979. The next prime is 441403330019. The reversal of 441403330004 is 400033304144.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 5533604 + ... + 5612804.

It is an arithmetic number, because the mean of its divisors is an integer number (10105858392).

Almost surely, 2^441403330004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441403330004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485081202816).

441403330004 is an abundant number, since it is smaller than the sum of its proper divisors (528759075628).

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

441403330004 is a wasteful number, since it uses less digits than its factorization.

441403330004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79537 (or 79535 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 441403330004 its reverse (400033304144), we get a palindrome (841436634148).

The spelling of 441403330004 in words is "four hundred forty-one billion, four hundred three million, three hundred thirty thousand, four".