42033705526134 has 144 divisors (see below), whose sum is σ = 113875734739104. Its totient is φ = 10938562030080.

The previous prime is 42033705526079. The next prime is 42033705526213. The reversal of 42033705526134 is 43162550733024.

It is a happy number.

42033705526134 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 3 + 7 + 0 + 552 + 61 + 34 = 666.

42033705526134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42033705526134.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8151517 + ... + 12268440.

It is an arithmetic number, because the mean of its divisors is an integer number (790803713466).

Almost surely, 2^{42033705526134} is an apocalyptic number.

42033705526134 is an abundant number, since it is smaller than the sum of its proper divisors (71842029212970).

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

42033705526134 is a wasteful number, since it uses less digits than its factorization.

42033705526134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20420051 (or 20420017 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 42033705526134 in words is "forty-two trillion, thirty-three billion, seven hundred five million, five hundred twenty-six thousand, one hundred thirty-four".