42751916001 has 12 divisors (see below), whose sum is σ = 61765713828. Its totient is φ = 28495302144.

The previous prime is 42751915981. The next prime is 42751916021. The reversal of 42751916001 is 10061915724.

42751916001 is a `hidden beast` number, since 42 + 7 + 5 + 1 + 9 + 1 + 600 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (42751915981) and next prime (42751916021).

It can be written as a sum of positive squares in 2 ways, for example, as 26673422400 + 16078493601 = 163320^2 + 126801^2 .

It is not a de Polignac number, because 42751916001 - 2¹⁰ = 42751914977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42751916021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 452400 + ... + 538673.

It is an arithmetic number, because the mean of its divisors is an integer number (5147142819).

Almost surely, 2^42751916001 is an apocalyptic number.

It is an amenable number.

42751916001 is a deficient number, since it is larger than the sum of its proper divisors (19013797827).

42751916001 is a wasteful number, since it uses less digits than its factorization.

42751916001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995872 (or 995869 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 42751916001 in words is "forty-two billion, seven hundred fifty-one million, nine hundred sixteen thousand, one".