441573701113248 has 288 divisors, whose sum is σ = 1281663734158080. Its totient is φ = 133014998476800.

The previous prime is 441573701113241. The next prime is 441573701113301. The reversal of 441573701113248 is 842311107375144.

It is a super-2 number, since 2×441573701113248² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 441573701113248.

It is not an unprimeable number, because it can be changed into a prime (441573701113241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5144764798 + ... + 5144850626.

It is an arithmetic number, because the mean of its divisors is an integer number (4450221299160).

Almost surely, 2^{441573701113248} is an apocalyptic number.

441573701113248 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 441573701113248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640831867079040).

441573701113248 is an abundant number, since it is smaller than the sum of its proper divisors (840090033044832).

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

441573701113248 is a wasteful number, since it uses less digits than its factorization.

441573701113248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88492 (or 88473 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 441573701113248 in words is "four hundred forty-one trillion, five hundred seventy-three billion, seven hundred one million, one hundred thirteen thousand, two hundred forty-eight".