441442121244144 has 160 divisors (see below), whose sum is σ = 1162715346365760. Its totient is φ = 144270848557056.

The previous prime is 441442121244133. The next prime is 441442121244239.

441442121244144 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×441442121244144² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 441442121244096 and 441442121244105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40540183852 + ... + 40540194740.

It is an arithmetic number, because the mean of its divisors is an integer number (7266970914786).

Almost surely, 2^{441442121244144} 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 441442121244144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581357673182880).

441442121244144 is an abundant number, since it is smaller than the sum of its proper divisors (721273225121616).

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

441442121244144 is a wasteful number, since it uses less digits than its factorization.

441442121244144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20547 (or 20541 counting only the distinct ones).

The product of its digits is 524288, while the sum is 42.

The spelling of 441442121244144 in words is "four hundred forty-one trillion, four hundred forty-two billion, one hundred twenty-one million, two hundred forty-four thousand, one hundred forty-four".