442111131144 has 48 divisors (see below), whose sum is σ = 1197564096300. Its totient is φ = 147348249984.

The previous prime is 442111131113. The next prime is 442111131173. The reversal of 442111131144 is 441131111244.

It can be written as a sum of positive squares in 2 ways, for example, as 403557808644 + 38553322500 = 635262^2 + 196350^2 .

It is a super-4 number, since 4×442111131144⁴ (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25422 + ... + 940674.

Almost surely, 2^442111131144 is an apocalyptic number.

It is an amenable number.

442111131144 is an abundant number, since it is smaller than the sum of its proper divisors (755452965156).

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

442111131144 is a wasteful number, since it uses less digits than its factorization.

442111131144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921974 (or 921967 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 442111131144 its reverse (441131111244), we get a palindrome (883242242388).

The spelling of 442111131144 in words is "four hundred forty-two billion, one hundred eleven million, one hundred thirty-one thousand, one hundred forty-four".