441338418048 has 256 divisors, whose sum is σ = 1347692544000. Its totient is φ = 126558443520.

The previous prime is 441338418023. The next prime is 441338418083. The reversal of 441338418048 is 840814833144.

It is a super-2 number, since 2×441338418048² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 441338417988 and 441338418006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87235743 + ... + 87240801.

It is an arithmetic number, because the mean of its divisors is an integer number (5264424000).

Almost surely, 2^441338418048 is an apocalyptic number.

441338418048 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 441338418048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673846272000).

441338418048 is an abundant number, since it is smaller than the sum of its proper divisors (906354125952).

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

441338418048 is a wasteful number, since it uses less digits than its factorization.

441338418048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6193 (or 6181 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 441338418048 in words is "four hundred forty-one billion, three hundred thirty-eight million, four hundred eighteen thousand, forty-eight".