444121121448 has 192 divisors, whose sum is σ = 1302678599040. Its totient is φ = 141487720704.

The previous prime is 444121121447. The next prime is 444121121489. The reversal of 444121121448 is 844121121444.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (444121121447) 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, 66751690 + ... + 66758342.

It is an arithmetic number, because the mean of its divisors is an integer number (6784784370).

Almost surely, 2^444121121448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444121121448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651339299520).

444121121448 is an abundant number, since it is smaller than the sum of its proper divisors (858557477592).

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

444121121448 is a wasteful number, since it uses less digits than its factorization.

444121121448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8190 (or 8174 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The spelling of 444121121448 in words is "four hundred forty-four billion, one hundred twenty-one million, one hundred twenty-one thousand, four hundred forty-eight".