42816807632256 has 256 divisors, whose sum is σ = 137798778040320. Its totient is φ = 11518781644800.

The previous prime is 42816807632201. The next prime is 42816807632257. The reversal of 42816807632256 is 65223670861824.

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 self number, because there is not a number n which added to its sum of digits gives 42816807632256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42816807632257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3860575 + ... + 10026846.

It is an arithmetic number, because the mean of its divisors is an integer number (538276476720).

Almost surely, 2^{42816807632256} is an apocalyptic number.

It is an amenable number.

42816807632256 is an abundant number, since it is smaller than the sum of its proper divisors (94981970408064).

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

42816807632256 is a wasteful number, since it uses less digits than its factorization.

42816807632256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13887513 (or 13887501 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 42816807632256 in words is "forty-two trillion, eight hundred sixteen billion, eight hundred seven million, six hundred thirty-two thousand, two hundred fifty-six".