42042133431 has 16 divisors (see below), whose sum is σ = 64432389600. Its totient is φ = 27061602624.

The previous prime is 42042133421. The next prime is 42042133451. The reversal of 42042133431 is 13433124024.

42042133431 is a `hidden beast` number, since 4 + 204 + 21 + 3 + 3 + 431 = 666.

It is not a de Polignac number, because 42042133431 - 2⁷ = 42042133303 is a prime.

It is a super-4 number, since 4×42042133431⁴ (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42042133395 and 42042133404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42042133421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26846046 + ... + 26847611.

It is an arithmetic number, because the mean of its divisors is an integer number (4027024350).

Almost surely, 2^42042133431 is an apocalyptic number.

42042133431 is a deficient number, since it is larger than the sum of its proper divisors (22390256169).

42042133431 is a wasteful number, since it uses less digits than its factorization.

42042133431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53693695 (or 53693689 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 42042133431 its reverse (13433124024), we get a palindrome (55475257455).

The spelling of 42042133431 in words is "forty-two billion, forty-two million, one hundred thirty-three thousand, four hundred thirty-one".