442326623244 has 96 divisors (see below), whose sum is σ = 1192433550336. Its totient is φ = 126124078080.

The previous prime is 442326623209. The next prime is 442326623287.

442326623244 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×442326623244³ (a number of 36 digits) contains 333 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 = 442326623196 and 442326623205.

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 31 ways as a sum of consecutive naturals, for example, 10600029 + ... + 10641675.

It is an arithmetic number, because the mean of its divisors is an integer number (12421182816).

Almost surely, 2^442326623244 is an apocalyptic number.

442326623244 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 442326623244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596216775168).

442326623244 is an abundant number, since it is smaller than the sum of its proper divisors (750106927092).

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

442326623244 is a wasteful number, since it uses less digits than its factorization.

442326623244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46415 (or 46413 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

The spelling of 442326623244 in words is "four hundred forty-two billion, three hundred twenty-six million, six hundred twenty-three thousand, two hundred forty-four".