442234233000 has 768 divisors, whose sum is σ = 1754855331840. Its totient is φ = 98353152000.

The previous prime is 442234232983. The next prime is 442234233017. The reversal of 442234233000 is 332432244.

442234233000 is a `hidden beast` number, since 4 + 422 + 3 + 4 + 233 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (442234232983) and next prime (442234233017).

It is a super-2 number, since 2×442234233000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 689912680 + ... + 689913320.

It is an arithmetic number, because the mean of its divisors is an integer number (2284967880).

Almost surely, 2^442234233000 is an apocalyptic number.

442234233000 is a gapful number since it is divisible by the number (40) 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 442234233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877427665920).

442234233000 is an abundant number, since it is smaller than the sum of its proper divisors (1312621098840).

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

442234233000 is a wasteful number, since it uses less digits than its factorization.

442234233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 442234233000 its reverse (332432244), we get a palindrome (442566665244).

The spelling of 442234233000 in words is "four hundred forty-two billion, two hundred thirty-four million, two hundred thirty-three thousand".