42474576256 has 128 divisors (see below), whose sum is σ = 98198092800. Its totient is φ = 17923756032.

The previous prime is 42474576253. The next prime is 42474576301. The reversal of 42474576256 is 65267547424.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42474576253) by changing a digit.

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, 38718300 + ... + 38719396.

It is an arithmetic number, because the mean of its divisors is an integer number (767172600).

Almost surely, 2^42474576256 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 42474576256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49099046400).

42474576256 is an abundant number, since it is smaller than the sum of its proper divisors (55723516544).

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

42474576256 is a wasteful number, since it uses less digits than its factorization.

42474576256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1732 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 52.

The spelling of 42474576256 in words is "forty-two billion, four hundred seventy-four million, five hundred seventy-six thousand, two hundred fifty-six".