4134242000 has 160 divisors (see below), whose sum is σ = 11490336000. Its totient is φ = 1409318400.

The previous prime is 4134241919. The next prime is 4134242017. The reversal of 4134242000 is 2424314.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2757251 + ... + 2758749.

It is an arithmetic number, because the mean of its divisors is an integer number (71814600).

Almost surely, 2^4134242000 is an apocalyptic number.

4134242000 is a gapful number since it is divisible by the number (40) 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 4134242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745168000).

4134242000 is an abundant number, since it is smaller than the sum of its proper divisors (7356094000).

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

4134242000 is a wasteful number, since it uses less digits than its factorization.

4134242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4134242000 is about 64298.0715107382. The cubic root of 4134242000 is about 1604.9640102824.

Adding to 4134242000 its reverse (2424314), we get a palindrome (4136666314).

The spelling of 4134242000 in words is "four billion, one hundred thirty-four million, two hundred forty-two thousand".