42124300342124 has 96 divisors (see below), whose sum is σ = 101391459789312. Its totient is φ = 14780096064000.

The previous prime is 42124300342097. The next prime is 42124300342153.

It is a happy number.

42124300342124 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128135282 + ... + 128463609.

It is an arithmetic number, because the mean of its divisors is an integer number (1056161039472).

Almost surely, 2^{42124300342124} is an apocalyptic number.

42124300342124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42124300342124 is an abundant number, since it is smaller than the sum of its proper divisors (59267159447188).

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

42124300342124 is a wasteful number, since it uses less digits than its factorization.

42124300342124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256598967 (or 256598965 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 42124300 and 342124, that added together give a palindrome (42466424).

The spelling of 42124300342124 in words is "forty-two trillion, one hundred twenty-four billion, three hundred million, three hundred forty-two thousand, one hundred twenty-four".