442004424441312 has 48 divisors (see below), whose sum is σ = 1171749352938192. Its totient is φ = 145876047667200.

The previous prime is 442004424441193. The next prime is 442004424441343. The reversal of 442004424441312 is 213144424400244.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×442004424441312² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22793122753 + ... + 22793142144.

It is an arithmetic number, because the mean of its divisors is an integer number (24411444852879).

Almost surely, 2^{442004424441312} is an apocalyptic number.

It is an amenable number.

442004424441312 is an abundant number, since it is smaller than the sum of its proper divisors (729744928496880).

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

442004424441312 is a wasteful number, since it uses less digits than its factorization.

442004424441312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45586265011 (or 45586265003 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 39.

Adding to 442004424441312 its reverse (213144424400244), we get a palindrome (655148848841556).

The spelling of 442004424441312 in words is "four hundred forty-two trillion, four billion, four hundred twenty-four million, four hundred forty-one thousand, three hundred twelve".