4441221345000 has 320 divisors, whose sum is σ = 15156744039360. Its totient is φ = 1075161600000.

The previous prime is 4441221344981. The next prime is 4441221345007. The reversal of 4441221345000 is 5431221444.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4441221345007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 120926640 + ... + 120963360.

It is an arithmetic number, because the mean of its divisors is an integer number (47364825123).

Almost surely, 2^{4441221345000} is an apocalyptic number.

4441221345000 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 4441221345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7578372019680).

4441221345000 is an abundant number, since it is smaller than the sum of its proper divisors (10715522694360).

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

4441221345000 is a wasteful number, since it uses less digits than its factorization.

4441221345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37494 (or 37475 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 4441221345000 its reverse (5431221444), we get a palindrome (4446652566444).

The spelling of 4441221345000 in words is "four trillion, four hundred forty-one billion, two hundred twenty-one million, three hundred forty-five thousand".