42241844736 has 1080 divisors, whose sum is σ = 163136917944. Its totient is φ = 10868981760.

The previous prime is 42241844717. The next prime is 42241844747. The reversal of 42241844736 is 63744814224.

42241844736 is a `hidden beast` number, since 422 + 4 + 184 + 47 + 3 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42241844691 and 42241844700.

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 107 ways as a sum of consecutive naturals, for example, 1030288876 + ... + 1030288916.

Almost surely, 2^42241844736 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 42241844736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81568458972).

42241844736 is an abundant number, since it is smaller than the sum of its proper divisors (120895073208).

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

42241844736 is an equidigital number, since it uses as much as digits as its factorization.

42241844736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 66 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The spelling of 42241844736 in words is "forty-two billion, two hundred forty-one million, eight hundred forty-four thousand, seven hundred thirty-six".