442414011228 has 72 divisors (see below), whose sum is σ = 1201106590992. Its totient is φ = 126375734016.

The previous prime is 442414011191. The next prime is 442414011253. The reversal of 442414011228 is 822110414244.

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 23 ways as a sum of consecutive naturals, for example, 2621200 + ... + 2784872.

It is an arithmetic number, because the mean of its divisors is an integer number (16682035986).

Almost surely, 2^442414011228 is an apocalyptic number.

It is an amenable number.

442414011228 is an abundant number, since it is smaller than the sum of its proper divisors (758692579764).

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

442414011228 is a wasteful number, since it uses less digits than its factorization.

442414011228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168291 (or 168282 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The spelling of 442414011228 in words is "four hundred forty-two billion, four hundred fourteen million, eleven thousand, two hundred twenty-eight".