42141214124 has 24 divisors (see below), whose sum is σ = 76143513600. Its totient is φ = 20386236240.

The previous prime is 42141214097. The next prime is 42141214127.

42141214124 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 42141214093 and 42141214102.

It is not an unprimeable number, because it can be changed into a prime (42141214127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 538607 + ... + 611865.

It is an arithmetic number, because the mean of its divisors is an integer number (3172646400).

Almost surely, 2^42141214124 is an apocalyptic number.

It is an amenable number.

42141214124 is a deficient number, since it is larger than the sum of its proper divisors (34002299476).

42141214124 is a wasteful number, since it uses less digits than its factorization.

42141214124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77933 (or 77931 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

The spelling of 42141214124 in words is "forty-two billion, one hundred forty-one million, two hundred fourteen thousand, one hundred twenty-four".