441451330000 has 200 divisors, whose sum is σ = 1095819300576. Its totient is φ = 172132800000.

The previous prime is 441451329971. The next prime is 441451330003. The reversal of 441451330000 is 33154144.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441451330003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 404629455 + ... + 404630545.

Almost surely, 2^441451330000 is an apocalyptic number.

441451330000 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 441451330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547909650288).

441451330000 is an abundant number, since it is smaller than the sum of its proper divisors (654367970576).

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

441451330000 is a wasteful number, since it uses less digits than its factorization.

441451330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 441451330000 its reverse (33154144), we get a palindrome (441484484144).

The spelling of 441451330000 in words is "four hundred forty-one billion, four hundred fifty-one million, three hundred thirty thousand".