4142334132 has 144 divisors (see below), whose sum is σ = 11381610240. Its totient is φ = 1266338304.

The previous prime is 4142334107. The next prime is 4142334139. The reversal of 4142334132 is 2314332414.

4142334132 is a `hidden beast` number, since 4 + 14 + 233 + 413 + 2 = 666.

4142334132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4142334132² = 34317864122264386848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4142334096 and 4142334105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142334139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4009488 + ... + 4010520.

It is an arithmetic number, because the mean of its divisors is an integer number (79038960).

Almost surely, 2^4142334132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142334132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5690805120).

4142334132 is an abundant number, since it is smaller than the sum of its proper divisors (7239276108).

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

4142334132 is a wasteful number, since it uses less digits than its factorization.

4142334132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1257 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 4142334132 is about 64360.9674569921. The cubic root of 4142334132 is about 1606.0104831393.

Adding to 4142334132 its reverse (2314332414), we get a palindrome (6456666546).

The spelling of 4142334132 in words is "four billion, one hundred forty-two million, three hundred thirty-four thousand, one hundred thirty-two".