42116222261124 has 72 divisors (see below), whose sum is σ = 116146350421920. Its totient is φ = 12761647977600.

The previous prime is 42116222261117. The next prime is 42116222261149.

42116222261124 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 622 + 2 + 2 + 6 + 1 + 1 + 24 = 666.

42116222261124 is nontrivially palindromic in base 10.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2496267 + ... + 9511245.

It is an arithmetic number, because the mean of its divisors is an integer number (1613143755860).

Almost surely, 2^{42116222261124} is an apocalyptic number.

42116222261124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42116222261124 is an abundant number, since it is smaller than the sum of its proper divisors (74030128160796).

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

42116222261124 is a wasteful number, since it uses less digits than its factorization.

42116222261124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7030161 (or 7030156 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

It can be divided in two parts, 4211622 and 2261124, that added together give a palindrome (6472746).

The spelling of 42116222261124 in words is "forty-two trillion, one hundred sixteen billion, two hundred twenty-two million, two hundred sixty-one thousand, one hundred twenty-four".