42033928761 has 72 divisors (see below), whose sum is σ = 68657677088. Its totient is φ = 24748416000.

The previous prime is 42033928747. The next prime is 42033928763. The reversal of 42033928761 is 16782933024.

42033928761 is a `hidden beast` number, since 420 + 3 + 3 + 92 + 87 + 61 = 666.

It is not a de Polignac number, because 42033928761 - 2⁷ = 42033928633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42033928763) 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 71 ways as a sum of consecutive naturals, for example, 9035286 + ... + 9039936.

Almost surely, 2^42033928761 is an apocalyptic number.

It is an amenable number.

42033928761 is a deficient number, since it is larger than the sum of its proper divisors (26623748327).

42033928761 is a wasteful number, since it uses less digits than its factorization.

42033928761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915 (or 4901 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 42033928761 in words is "forty-two billion, thirty-three million, nine hundred twenty-eight thousand, seven hundred sixty-one".