4142133424 has 160 divisors (see below), whose sum is σ = 9791498304. Its totient is φ = 1672151040.

The previous prime is 4142133421. The next prime is 4142133431. The reversal of 4142133424 is 4243312414.

It is a junction number, because it is equal to n+sod(n) for n = 4142133392 and 4142133401.

It is not an unprimeable number, because it can be changed into a prime (4142133421) 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, 9565912 + ... + 9566344.

Almost surely, 2^4142133424 is an apocalyptic number.

4142133424 is a gapful number since it is divisible by the number (44) 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 4142133424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895749152).

4142133424 is an abundant number, since it is smaller than the sum of its proper divisors (5649364880).

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

4142133424 is a wasteful number, since it uses less digits than its factorization.

4142133424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 4142133424 is about 64359.4082011325. The cubic root of 4142133424 is about 1605.9845441116.

Adding to 4142133424 its reverse (4243312414), we get a palindrome (8385445838).

The spelling of 4142133424 in words is "four billion, one hundred forty-two million, one hundred thirty-three thousand, four hundred twenty-four".