42482239016256 has 2016 divisors, whose sum is σ = 149920111111680. Its totient is φ = 11393510768640.

The previous prime is 42482239016249. The next prime is 42482239016263. The reversal of 42482239016256 is 65261093228424.

42482239016256 is a `hidden beast` number, since 4 + 2 + 4 + 8 + 2 + 2 + 3 + 9 + 0 + 1 + 625 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (42482239016249) and next prime (42482239016263).

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 287 ways as a sum of consecutive naturals, for example, 254384664685 + ... + 254384664851.

It is an arithmetic number, because the mean of its divisors is an integer number (74365134480).

Almost surely, 2^{42482239016256} is an apocalyptic number.

42482239016256 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42482239016256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74960055555840).

42482239016256 is an abundant number, since it is smaller than the sum of its proper divisors (107437872095424).

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

42482239016256 is a wasteful number, since it uses less digits than its factorization.

42482239016256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 42482239016256 in words is "forty-two trillion, four hundred eighty-two billion, two hundred thirty-nine million, sixteen thousand, two hundred fifty-six".