4142122110 has 192 divisors, whose sum is σ = 12895593984. Its totient is φ = 937008000.

The previous prime is 4142122093. The next prime is 4142122123. The reversal of 4142122110 is 112212414.

4142122110 is a `hidden beast` number, since 414 + 21 + 221 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1716805 + ... + 1719215.

It is an arithmetic number, because the mean of its divisors is an integer number (67164552).

Almost surely, 2^4142122110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6447796992).

4142122110 is an abundant number, since it is smaller than the sum of its proper divisors (8753471874).

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

4142122110 is a wasteful number, since it uses less digits than its factorization.

4142122110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4142122110 is about 64359.3203040554. The cubic root of 4142122110 is about 1605.9830818921.

Adding to 4142122110 its reverse (112212414), we get a palindrome (4254334524).

The spelling of 4142122110 in words is "four billion, one hundred forty-two million, one hundred twenty-two thousand, one hundred ten".