441979356288 has 128 divisors (see below), whose sum is σ = 1247559649920. Its totient is φ = 138159046656.

The previous prime is 441979356263. The next prime is 441979356289. The reversal of 441979356288 is 882653979144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (441979356289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1686045 + ... + 1930467.

It is an arithmetic number, because the mean of its divisors is an integer number (9746559765).

Almost surely, 2^441979356288 is an apocalyptic number.

441979356288 is a gapful number since it is divisible by the number (48) 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 441979356288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623779824960).

441979356288 is an abundant number, since it is smaller than the sum of its proper divisors (805580293632).

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

441979356288 is a wasteful number, since it uses less digits than its factorization.

441979356288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244734 (or 244722 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 66.

The spelling of 441979356288 in words is "four hundred forty-one billion, nine hundred seventy-nine million, three hundred fifty-six thousand, two hundred eighty-eight".