4134042024 has 128 divisors (see below), whose sum is σ = 12076646400. Its totient is φ = 1154926080.

The previous prime is 4134041987. The next prime is 4134042047. The reversal of 4134042024 is 4202404314.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 4134041985 and 4134042003.

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, 1513492 + ... + 1516220.

It is an arithmetic number, because the mean of its divisors is an integer number (94348800).

Almost surely, 2^4134042024 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 4134042024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6038323200).

4134042024 is an abundant number, since it is smaller than the sum of its proper divisors (7942604376).

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

4134042024 is a wasteful number, since it uses less digits than its factorization.

4134042024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4134042024 is about 64296.5164219649. The cubic root of 4134042024 is about 1604.9381321442.

Adding to 4134042024 its reverse (4202404314), we get a palindrome (8336446338).

The spelling of 4134042024 in words is "four billion, one hundred thirty-four million, forty-two thousand, twenty-four".