442212124032 has 128 divisors (see below), whose sum is σ = 1491588595200. Its totient is φ = 126346314240.

The previous prime is 442212124021. The next prime is 442212124049. The reversal of 442212124032 is 230421212244.

It is a happy number.

442212124032 is a `hidden beast` number, since 4 + 42 + 2 + 1 + 212 + 403 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 442212123987 and 442212124005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9115444 + ... + 9163827.

It is an arithmetic number, because the mean of its divisors is an integer number (11653035900).

Almost surely, 2^442212124032 is an apocalyptic number.

442212124032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

442212124032 is an abundant number, since it is smaller than the sum of its proper divisors (1049376471168).

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

442212124032 is a wasteful number, since it uses less digits than its factorization.

442212124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18279301 (or 18279283 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 442212124032 its reverse (230421212244), we get a palindrome (672633336276).

The spelling of 442212124032 in words is "four hundred forty-two billion, two hundred twelve million, one hundred twenty-four thousand, thirty-two".