442142221135230 has 384 divisors, whose sum is σ = 1434380541834240. Its totient is φ = 91799982673920.

The previous prime is 442142221135201. The next prime is 442142221135249. The reversal of 442142221135230 is 32531122241244.

442142221135230 is a `hidden beast` number, since 4 + 4 + 2 + 14 + 2 + 2 + 2 + 113 + 523 + 0 = 666.

It is a super-2 number, since 2×442142221135230² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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, 74447247601 + ... + 74447253539.

It is an arithmetic number, because the mean of its divisors is an integer number (3735365994360).

Almost surely, 2^{442142221135230} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442142221135230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717190270917120).

442142221135230 is an abundant number, since it is smaller than the sum of its proper divisors (992238320699010).

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

442142221135230 is a wasteful number, since it uses less digits than its factorization.

442142221135230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12784 (or 12781 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 442142221135230 its reverse (32531122241244), we get a palindrome (474673343376474).

The spelling of 442142221135230 in words is "four hundred forty-two trillion, one hundred forty-two billion, two hundred twenty-one million, one hundred thirty-five thousand, two hundred thirty".