42071304249 has 72 divisors (see below), whose sum is σ = 70939362312. Its totient is φ = 23863610880.

The previous prime is 42071304239. The next prime is 42071304263. The reversal of 42071304249 is 94240317024.

42071304249 is a `hidden beast` number, since 42 + 0 + 71 + 304 + 249 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21110055849 + 20961248400 = 145293^2 + 144780^2 .

It is not a de Polignac number, because 42071304249 - 2⁸ = 42071303993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42071304239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1549309 + ... + 1576229.

It is an arithmetic number, because the mean of its divisors is an integer number (985268921).

Almost surely, 2^42071304249 is an apocalyptic number.

It is an amenable number.

42071304249 is a deficient number, since it is larger than the sum of its proper divisors (28868058063).

42071304249 is a wasteful number, since it uses less digits than its factorization.

42071304249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27015 (or 26993 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 42071304249 in words is "forty-two billion, seventy-one million, three hundred four thousand, two hundred forty-nine".