442023320244 has 288 divisors, whose sum is σ = 1243189301760. Its totient is φ = 120881376000.

The previous prime is 442023320239. The next prime is 442023320269.

442023320244 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 420573519 + ... + 420574569.

It is an arithmetic number, because the mean of its divisors is an integer number (4316629520).

Almost surely, 2^442023320244 is an apocalyptic number.

442023320244 is a gapful number since it is divisible by the number (44) 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 442023320244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621594650880).

442023320244 is an abundant number, since it is smaller than the sum of its proper divisors (801165981516).

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

442023320244 is a wasteful number, since it uses less digits than its factorization.

442023320244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 442023 and 320244, that added together give a palindrome (762267).

The spelling of 442023320244 in words is "four hundred forty-two billion, twenty-three million, three hundred twenty thousand, two hundred forty-four".