441452760320 has 432 divisors, whose sum is σ = 1258399645776. Its totient is φ = 147387187200.

The previous prime is 441452760311. The next prime is 441452760373. The reversal of 441452760320 is 23067254144.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 56119714816 + 385333045504 = 236896^2 + 620752^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469131050 + ... + 469131990.

It is an arithmetic number, because the mean of its divisors is an integer number (2912962143).

Almost surely, 2^441452760320 is an apocalyptic number.

441452760320 is a gapful number since it is divisible by the number (40) 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 441452760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629199822888).

441452760320 is an abundant number, since it is smaller than the sum of its proper divisors (816946885456).

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

441452760320 is a wasteful number, since it uses less digits than its factorization.

441452760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The spelling of 441452760320 in words is "four hundred forty-one billion, four hundred fifty-two million, seven hundred sixty thousand, three hundred twenty".