42141322314124 has 48 divisors (see below), whose sum is σ = 83054669064192. Its totient is φ = 18535488480000.

The previous prime is 42141322314121. The next prime is 42141322314131.

42141322314124 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 42141322314124.

It is not an unprimeable number, because it can be changed into a prime (42141322314121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13047604 + ... + 15953764.

It is an arithmetic number, because the mean of its divisors is an integer number (1730305605504).

Almost surely, 2^{42141322314124} is an apocalyptic number.

42141322314124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42141322314124 is a deficient number, since it is larger than the sum of its proper divisors (40913346750068).

42141322314124 is a wasteful number, since it uses less digits than its factorization.

42141322314124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916838 (or 2916836 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 4214132 and 2314124, that added together give a palindrome (6528256).

The spelling of 42141322314124 in words is "forty-two trillion, one hundred forty-one billion, three hundred twenty-two million, three hundred fourteen thousand, one hundred twenty-four".