42635642256 has 45 divisors (see below), whose sum is σ = 119327516971. Its totient is φ = 14211054816.

The previous prime is 42635642251. The next prime is 42635642261. The reversal of 42635642256 is 65224653624.

The square root of 42635642256 is 206484.

It is a perfect power (a square), and thus also a powerful number.

42635642256 is a `hidden beast` number, since 4 + 2 + 6 + 356 + 42 + 256 = 666.

It is an interprime number because it is at equal distance from previous prime (42635642251) and next prime (42635642261).

It is a super-3 number, since 3×42635642256³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42635642251) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2469205 + ... + 2486411.

Almost surely, 2^42635642256 is an apocalyptic number.

42635642256 is the 206484-th square number.

It is an amenable number.

42635642256 is an abundant number, since it is smaller than the sum of its proper divisors (76691874715).

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

42635642256 is an frugal number, since it uses more digits than its factorization.

42635642256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34428 (or 17212 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 42635642256 in words is "forty-two billion, six hundred thirty-five million, six hundred forty-two thousand, two hundred fifty-six".