42033138205688 has 64 divisors (see below), whose sum is σ = 90694693656000. Its totient is φ = 17889893379072.

The previous prime is 42033138205649. The next prime is 42033138205703. The reversal of 42033138205688 is 88650283133024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257678 + ... + 9172386.

It is an arithmetic number, because the mean of its divisors is an integer number (1417104588375).

Almost surely, 2^{42033138205688} is an apocalyptic number.

It is an amenable number.

42033138205688 is an abundant number, since it is smaller than the sum of its proper divisors (48661555450312).

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

42033138205688 is a wasteful number, since it uses less digits than its factorization.

42033138205688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8915304 (or 8915300 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 53.

The spelling of 42033138205688 in words is "forty-two trillion, thirty-three billion, one hundred thirty-eight million, two hundred five thousand, six hundred eighty-eight".