42406000912 has 80 divisors (see below), whose sum is σ = 90165514752. Its totient is φ = 19160847360.

The previous prime is 42406000891. The next prime is 42406000937. The reversal of 42406000912 is 21900060424.

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 15 ways as a sum of consecutive naturals, for example, 29591748 + ... + 29593180.

Almost surely, 2^42406000912 is an apocalyptic number.

42406000912 is the 168139-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42406000912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45082757376).

42406000912 is an abundant number, since it is smaller than the sum of its proper divisors (47759513840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42406000912 is a wasteful number, since it uses less digits than its factorization.

42406000912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 42406000912 in words is "forty-two billion, four hundred six million, nine hundred twelve", and thus it is an aban number.