42118481124 has 72 divisors (see below), whose sum is σ = 108240245568. Its totient is φ = 13806555840.

The previous prime is 42118481117. The next prime is 42118481131.

It is a happy number.

42118481124 is a `hidden beast` number, since 42 + 1 + 18 + 481 + 124 = 666.

42118481124 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42118481117) and next prime (42118481131).

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

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 23 ways as a sum of consecutive naturals, for example, 993979 + ... + 1035485.

It is an arithmetic number, because the mean of its divisors is an integer number (1503336744).

Almost surely, 2^42118481124 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 42118481124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54120122784).

42118481124 is an abundant number, since it is smaller than the sum of its proper divisors (66121764444).

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

42118481124 is a wasteful number, since it uses less digits than its factorization.

42118481124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41985 (or 41980 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The spelling of 42118481124 in words is "forty-two billion, one hundred eighteen million, four hundred eighty-one thousand, one hundred twenty-four".