42141144114124 has 24 divisors (see below), whose sum is σ = 81584391684096. Its totient is φ = 18885275850000.

The previous prime is 42141144114089. The next prime is 42141144114133.

42141144114124 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42141144114124.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6744738252 + ... + 6744744499.

It is an arithmetic number, because the mean of its divisors is an integer number (3399349653504).

Almost surely, 2^{42141144114124} is an apocalyptic number.

42141144114124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42141144114124 is a deficient number, since it is larger than the sum of its proper divisors (39443247569972).

42141144114124 is a wasteful number, since it uses less digits than its factorization.

42141144114124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13489482837 (or 13489482835 counting only the distinct ones).

The product of its digits is 16384, while the sum is 34.

It can be divided in two parts, 4214114 and 4114124, that added together give a palindrome (8328238).

The spelling of 42141144114124 in words is "forty-two trillion, one hundred forty-one billion, one hundred forty-four million, one hundred fourteen thousand, one hundred twenty-four".