42256866624 has 112 divisors (see below), whose sum is σ = 127878815616. Its totient is φ = 12063744000.

The previous prime is 42256866611. The next prime is 42256866677. The reversal of 42256866624 is 42666865224.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1763524 + ... + 1787324.

Almost surely, 2^42256866624 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 42256866624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63939407808).

42256866624 is an abundant number, since it is smaller than the sum of its proper divisors (85621948992).

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

42256866624 is a wasteful number, since it uses less digits than its factorization.

42256866624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25144 (or 25134 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 51.

The spelling of 42256866624 in words is "forty-two billion, two hundred fifty-six million, eight hundred sixty-six thousand, six hundred twenty-four".