442422224244 has 576 divisors, whose sum is σ = 1547913669120. Its totient is φ = 102822359040.

The previous prime is 442422224221. The next prime is 442422224267.

442422224244 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 2 + 222 + 424 + 4 = 666.

442422224244 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (442422224221) and next prime (442422224267).

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 a junction number, because it is equal to n+sod(n) for n = 442422224199 and 442422224208.

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 191 ways as a sum of consecutive naturals, for example, 518665722 + ... + 518666574.

It is an arithmetic number, because the mean of its divisors is an integer number (2687350120).

Almost surely, 2^442422224244 is an apocalyptic number.

442422224244 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 442422224244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773956834560).

442422224244 is an abundant number, since it is smaller than the sum of its proper divisors (1105491444876).

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

442422224244 is a wasteful number, since it uses less digits than its factorization.

442422224244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1315 counting only the distinct ones).

The product of its digits is 262144, while the sum is 36.

It can be divided in two parts, 442422 and 224244, that added together give a palindrome (666666).

The spelling of 442422224244 in words is "four hundred forty-two billion, four hundred twenty-two million, two hundred twenty-four thousand, two hundred forty-four".