542042441127 has 60 divisors (see below), whose sum is σ = 901600105224. Its totient is φ = 311213132640.

The previous prime is 542042441107. The next prime is 542042441131. The reversal of 542042441127 is 721144240245.

542042441127 is a `hidden beast` number, since 5 + 4 + 204 + 2 + 441 + 1 + 2 + 7 = 666.

It is not a de Polignac number, because 542042441127 - 2¹⁴ = 542042424743 is a prime.

It is a super-2 number, since 2×542042441127² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 542042441091 and 542042441100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542042441107) 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 59 ways as a sum of consecutive naturals, for example, 12880773 + ... + 12922785.

Almost surely, 2^542042441127 is an apocalyptic number.

542042441127 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

542042441127 is a deficient number, since it is larger than the sum of its proper divisors (359557664097).

542042441127 is an equidigital number, since it uses as much as digits as its factorization.

542042441127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42106 (or 42046 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 542042441127 in words is "five hundred forty-two billion, forty-two million, four hundred forty-one thousand, one hundred twenty-seven".