42114244241124 has 432 divisors, whose sum is σ = 125805487167360. Its totient is φ = 11774126407680.

The previous prime is 42114244241101. The next prime is 42114244241171.

42114244241124 is a `hidden beast` number, since 4 + 2 + 11 + 42 + 442 + 41 + 124 = 666.

42114244241124 is nontrivially palindromic in base 10.

42114244241124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9031574817 + ... + 9031579479.

It is an arithmetic number, because the mean of its divisors is an integer number (291216405480).

Almost surely, 2^{42114244241124} is an apocalyptic number.

42114244241124 is a gapful number since it is divisible by the number (44) 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 42114244241124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62902743583680).

42114244241124 is an abundant number, since it is smaller than the sum of its proper divisors (83691242926236).

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

42114244241124 is a wasteful number, since it uses less digits than its factorization.

42114244241124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6260 (or 6238 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

It can be divided in two parts, 4211424 and 4241124, that added together give a palindrome (8452548).

The spelling of 42114244241124 in words is "forty-two trillion, one hundred fourteen billion, two hundred forty-four million, two hundred forty-one thousand, one hundred twenty-four".