4022042431104 has 96 divisors (see below), whose sum is σ = 12077056836000. Its totient is φ = 1282390331904.

The previous prime is 4022042431091. The next prime is 4022042431111. The reversal of 4022042431104 is 4011342402204.

4022042431104 is a `hidden beast` number, since 4 + 0 + 220 + 4 + 2 + 431 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75872554 + ... + 75925545.

It is an arithmetic number, because the mean of its divisors is an integer number (125802675375).

Almost surely, 2^{4022042431104} is an apocalyptic number.

It is an amenable number.

4022042431104 is an abundant number, since it is smaller than the sum of its proper divisors (8055014404896).

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

4022042431104 is a wasteful number, since it uses less digits than its factorization.

4022042431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151798142 (or 151798127 counting only the distinct ones).

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

Adding to 4022042431104 its reverse (4011342402204), we get a palindrome (8033384833308).

The spelling of 4022042431104 in words is "four trillion, twenty-two billion, forty-two million, four hundred thirty-one thousand, one hundred four".