10742041134 has 192 divisors, whose sum is σ = 27398891520. Its totient is φ = 3007368000.

The previous prime is 10742041133. The next prime is 10742041151. The reversal of 10742041134 is 43114024701.

10742041134 is a `hidden beast` number, since 107 + 420 + 4 + 1 + 134 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10742041098 and 10742041107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10742041133) 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, 34990209 + ... + 34990515.

It is an arithmetic number, because the mean of its divisors is an integer number (142702560).

Almost surely, 2^10742041134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10742041134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13699445760).

10742041134 is an abundant number, since it is smaller than the sum of its proper divisors (16656850386).

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

10742041134 is a wasteful number, since it uses less digits than its factorization.

10742041134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 10742041134 its reverse (43114024701), we get a palindrome (53856065835).

The spelling of 10742041134 in words is "ten billion, seven hundred forty-two million, forty-one thousand, one hundred thirty-four".