4133514042 has 96 divisors (see below), whose sum is σ = 10477434240. Its totient is φ = 1153405440.

The previous prime is 4133513963. The next prime is 4133514067. The reversal of 4133514042 is 2404153314.

It is a happy number.

It is a super-2 number, since 2×4133514042² = 34171876670822355528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4133513997 and 4133514015.

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 47 ways as a sum of consecutive naturals, for example, 928542 + ... + 932982.

It is an arithmetic number, because the mean of its divisors is an integer number (109139940).

Almost surely, 2^4133514042 is an apocalyptic number.

4133514042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4133514042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238717120).

4133514042 is an abundant number, since it is smaller than the sum of its proper divisors (6343920198).

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

4133514042 is a wasteful number, since it uses less digits than its factorization.

4133514042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4628 (or 4625 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4133514042 is about 64292.4104541119. The cubic root of 4133514042 is about 1604.8698039788.

Adding to 4133514042 its reverse (2404153314), we get a palindrome (6537667356).

The spelling of 4133514042 in words is "four billion, one hundred thirty-three million, five hundred fourteen thousand, forty-two".