42124041410112 has 140 divisors (see below), whose sum is σ = 124880198725260. Its totient is φ = 14040071553024.

The previous prime is 42124041410111. The next prime is 42124041410147. The reversal of 42124041410112 is 21101414042124.

42124041410112 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 404 + 141 + 0 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25920969117696 + 16203072292416 = 5091264^2 + 4025304^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42124041410111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57578064 + ... + 58305072.

Almost surely, 2^{42124041410112} 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 42124041410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62440099362630).

42124041410112 is an abundant number, since it is smaller than the sum of its proper divisors (82756157315148).

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

42124041410112 is a wasteful number, since it uses less digits than its factorization.

42124041410112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738210 (or 738191 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 42124041410112 its reverse (21101414042124), we get a palindrome (63225455452236).

The spelling of 42124041410112 in words is "forty-two trillion, one hundred twenty-four billion, forty-one million, four hundred ten thousand, one hundred twelve".