442133101331244 has 18 divisors (see below), whose sum is σ = 1117614228365180. Its totient is φ = 147377700443736.

The previous prime is 442133101331231. The next prime is 442133101331263.

442133101331244 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 3 + 310 + 1 + 331 + 2 + 4 + 4 = 666.

442133101331244 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12281475036979 = 442133101331244 / (4 + 4 + 2 + 1 + 3 + 3 + 1 + 0 + 1 + 3 + 3 + 1 + 2 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 442133101331199 and 442133101331208.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6140737518454 + ... + 6140737518525.

Almost surely, 2^{442133101331244} is an apocalyptic number.

It is an amenable number.

442133101331244 is an abundant number, since it is smaller than the sum of its proper divisors (675481127033936).

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

442133101331244 is a wasteful number, since it uses less digits than its factorization.

442133101331244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12281475036989 (or 12281475036984 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 44213310 and 1331244, that added together give a palindrome (45544554).

The spelling of 442133101331244 in words is "four hundred forty-two trillion, one hundred thirty-three billion, one hundred one million, three hundred thirty-one thousand, two hundred forty-four".