4334133134142 has 192 divisors, whose sum is σ = 11330265623040. Its totient is φ = 1169698579200.

The previous prime is 4334133134129. The next prime is 4334133134143. The reversal of 4334133134142 is 2414313314334.

4334133134142 is a `hidden beast` number, since 4 + 334 + 1 + 3 + 313 + 4 + 1 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4334133134097 and 4334133134106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4334133134143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2244500917 + ... + 2244502847.

It is an arithmetic number, because the mean of its divisors is an integer number (59011800120).

Almost surely, 2^{4334133134142} is an apocalyptic number.

4334133134142 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 4334133134142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5665132811520).

4334133134142 is an abundant number, since it is smaller than the sum of its proper divisors (6996132488898).

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

4334133134142 is a wasteful number, since it uses less digits than its factorization.

4334133134142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239 (or 4236 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 4334133134142 its reverse (2414313314334), we get a palindrome (6748446448476).

The spelling of 4334133134142 in words is "four trillion, three hundred thirty-four billion, one hundred thirty-three million, one hundred thirty-four thousand, one hundred forty-two".