42033640257 has 24 divisors (see below), whose sum is σ = 72438928800. Its totient is φ = 24019222248.

The previous prime is 42033640219. The next prime is 42033640261. The reversal of 42033640257 is 75204633024.

42033640257 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 3 + 640 + 2 + 5 + 7 = 666.

It is not a de Polignac number, because 42033640257 - 2⁶ = 42033640193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42033640457) 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 23 ways as a sum of consecutive naturals, for example, 15884407 + ... + 15887052.

It is an arithmetic number, because the mean of its divisors is an integer number (3018288700).

Almost surely, 2^42033640257 is an apocalyptic number.

It is an amenable number.

42033640257 is a deficient number, since it is larger than the sum of its proper divisors (30405288543).

42033640257 is a wasteful number, since it uses less digits than its factorization.

42033640257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31771482 (or 31771469 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 42033640257 in words is "forty-two billion, thirty-three million, six hundred forty thousand, two hundred fifty-seven".