4142112414 has 48 divisors (see below), whose sum is σ = 9196120080. Its totient is φ = 1242736000.

The previous prime is 4142112409. The next prime is 4142112431.

4142112414 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45082 + ... + 101570.

It is an arithmetic number, because the mean of its divisors is an integer number (191585835).

Almost surely, 2^4142112414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142112414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4598060040).

4142112414 is an abundant number, since it is smaller than the sum of its proper divisors (5054007666).

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

4142112414 is a wasteful number, since it uses less digits than its factorization.

4142112414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56617 (or 56606 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 4142112414 is about 64359.2449769262. The cubic root of 4142112414 is about 1605.9818287805.

It can be divided in two parts, 41421 and 12414, that added together give a palindrome (53835).

The spelling of 4142112414 in words is "four billion, one hundred forty-two million, one hundred twelve thousand, four hundred fourteen".