42131636037 has 24 divisors (see below), whose sum is σ = 62224347744. Its totient is φ = 27460334304.

The previous prime is 42131636017. The next prime is 42131636087. The reversal of 42131636037 is 73063613124.

42131636037 is a `hidden beast` number, since 4 + 2 + 13 + 1 + 636 + 0 + 3 + 7 = 666.

It is not a de Polignac number, because 42131636037 - 2³² = 37836668741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42131635992 and 42131636010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42131636017) 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 23 ways as a sum of consecutive naturals, for example, 21063 + ... + 291044.

It is an arithmetic number, because the mean of its divisors is an integer number (2592681156).

Almost surely, 2^42131636037 is an apocalyptic number.

It is an amenable number.

42131636037 is a deficient number, since it is larger than the sum of its proper divisors (20092711707).

42131636037 is a wasteful number, since it uses less digits than its factorization.

42131636037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312449 (or 312446 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 42131636037 in words is "forty-two billion, one hundred thirty-one million, six hundred thirty-six thousand, thirty-seven".