42132755723124 has 48 divisors (see below), whose sum is σ = 110145582542016. Its totient is φ = 12422434118400.

The previous prime is 42132755723111. The next prime is 42132755723213.

42132755723124 is nontrivially palindromic in base 10.

42132755723124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42132755723124² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4313340297 + ... + 4313350064.

It is an arithmetic number, because the mean of its divisors is an integer number (2294699636292).

Almost surely, 2^{42132755723124} is an apocalyptic number.

42132755723124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42132755723124 is an abundant number, since it is smaller than the sum of its proper divisors (68012826818892).

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

42132755723124 is a wasteful number, since it uses less digits than its factorization.

42132755723124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8626690416 (or 8626690414 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 48.

It can be divided in two parts, 4213275 and 5723124, that added together give a palindrome (9936399).

The spelling of 42132755723124 in words is "forty-two trillion, one hundred thirty-two billion, seven hundred fifty-five million, seven hundred twenty-three thousand, one hundred twenty-four".