42001294112 has 18 divisors (see below), whose sum is σ = 82692330273. Its totient is φ = 21000067392.

The previous prime is 42001294099. The next prime is 42001294121. The reversal of 42001294112 is 21149210024.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 41957786896 + 43507216 = 204836^2 + 6596^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=144916.

It is a Duffinian number.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 1141214 + ... + 1177442.

Almost surely, 2^42001294112 is an apocalyptic number.

It is an amenable number.

42001294112 is a deficient number, since it is larger than the sum of its proper divisors (40691036161).

42001294112 is an frugal number, since it uses more digits than its factorization.

42001294112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72468 (or 36231 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Multiplying 42001294112 by its product of nonzero digits (1152), we get a square (48385490817024 = 6955968²).

The spelling of 42001294112 in words is "forty-two billion, one million, two hundred ninety-four thousand, one hundred twelve".