443245012000000 has 1008 divisors, whose sum is σ = 1350709010703360. Its totient is φ = 141701529600000.

The previous prime is 443245011999989. The next prime is 443245012000031. The reversal of 443245012000000 is 210542344.

It is a happy number.

It is a super-2 number, since 2×443245012000000² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 51883995729 + ... + 51884004271.

It is an arithmetic number, because the mean of its divisors is an integer number (1339989097920).

Almost surely, 2^{443245012000000} is an apocalyptic number.

443245012000000 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 443245012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675354505351680).

443245012000000 is an abundant number, since it is smaller than the sum of its proper divisors (907463998703360).

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

443245012000000 is an frugal number, since it uses more digits than its factorization.

443245012000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8722 (or 8683 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 443245012000000 its reverse (210542344), we get a palindrome (443245222542344).

The spelling of 443245012000000 in words is "four hundred forty-three trillion, two hundred forty-five billion, twelve million", and thus it is an aban number.