42706394761056 has 576 divisors, whose sum is σ = 130695712842240. Its totient is φ = 12129222942720.

The previous prime is 42706394761013. The next prime is 42706394761109. The reversal of 42706394761056 is 65016749360724.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27393453205 + ... + 27393454763.

It is an arithmetic number, because the mean of its divisors is an integer number (226902279240).

Almost surely, 2^{42706394761056} 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 42706394761056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65347856421120).

42706394761056 is an abundant number, since it is smaller than the sum of its proper divisors (87989318081184).

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

42706394761056 is a wasteful number, since it uses less digits than its factorization.

42706394761056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3147 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 42706394761056 in words is "forty-two trillion, seven hundred six billion, three hundred ninety-four million, seven hundred sixty-one thousand, fifty-six".