4042427112192 has 576 divisors, whose sum is σ = 12908206531584. Its totient is φ = 1098974822400.

The previous prime is 4042427112089. The next prime is 4042427112203. The reversal of 4042427112192 is 2912117242404.

4042427112192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4042427112192.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5766657442 + ... + 5766658142.

It is an arithmetic number, because the mean of its divisors is an integer number (22410080784).

Almost surely, 2^{4042427112192} is an apocalyptic number.

4042427112192 is a gapful number since it is divisible by the number (42) 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 4042427112192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6454103265792).

4042427112192 is an abundant number, since it is smaller than the sum of its proper divisors (8865779419392).

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

4042427112192 is a wasteful number, since it uses less digits than its factorization.

4042427112192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 4042427112192 in words is "four trillion, forty-two billion, four hundred twenty-seven million, one hundred twelve thousand, one hundred ninety-two".