4142432112 has 160 divisors (see below), whose sum is σ = 13743787008. Its totient is φ = 1044983808.

The previous prime is 4142432111. The next prime is 4142432149. The reversal of 4142432112 is 2112342414.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142432111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79848 + ... + 121080.

Almost surely, 2^4142432112 is an apocalyptic number.

4142432112 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 4142432112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6871893504).

4142432112 is an abundant number, since it is smaller than the sum of its proper divisors (9601354896).

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

4142432112 is a wasteful number, since it uses less digits than its factorization.

4142432112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41287 (or 41281 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 4142432112 is about 64361.7286281219. The cubic root of 4142432112 is about 1606.0231455386.

Adding to 4142432112 its reverse (2112342414), we get a palindrome (6254774526).

It can be divided in two parts, 41424 and 32112, that added together give a triangular number (73536 = T₃₈₃).

The spelling of 4142432112 in words is "four billion, one hundred forty-two million, four hundred thirty-two thousand, one hundred twelve".