42134609074656 has 192 divisors, whose sum is σ = 127373758944768. Its totient is φ = 11946284034048.

The previous prime is 42134609074639. The next prime is 42134609074681. The reversal of 42134609074656 is 65647090643124.

It is a junction number, because it is equal to n+sod(n) for n = 42134609074596 and 42134609074605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81296271 + ... + 81812913.

It is an arithmetic number, because the mean of its divisors is an integer number (663404994504).

Almost surely, 2^{42134609074656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42134609074656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63686879472384).

42134609074656 is an abundant number, since it is smaller than the sum of its proper divisors (85239149870112).

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

42134609074656 is a wasteful number, since it uses less digits than its factorization.

42134609074656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517593 (or 517585 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 42134609074656 in words is "forty-two trillion, one hundred thirty-four billion, six hundred nine million, seventy-four thousand, six hundred fifty-six".