42657976256 has 84 divisors (see below), whose sum is σ = 99576788400. Its totient is φ = 18076455936.

The previous prime is 42657976253. The next prime is 42657976259. The reversal of 42657976256 is 65267975624.

It is an interprime number because it is at equal distance from previous prime (42657976253) and next prime (42657976259).

It is a junction number, because it is equal to n+sod(n) for n = 42657976195 and 42657976204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42657976253) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 202685 + ... + 355523.

Almost surely, 2^42657976256 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 42657976256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49788394200).

42657976256 is an abundant number, since it is smaller than the sum of its proper divisors (56918812144).

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

42657976256 is a wasteful number, since it uses less digits than its factorization.

42657976256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152954 (or 152937 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 59.

The spelling of 42657976256 in words is "forty-two billion, six hundred fifty-seven million, nine hundred seventy-six thousand, two hundred fifty-six".