42405274912 has 384 divisors, whose sum is σ = 121513125888. Its totient is φ = 14012006400.

The previous prime is 42405274897. The next prime is 42405274939. The reversal of 42405274912 is 21947250424.

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 63 ways as a sum of consecutive naturals, for example, 23414487 + ... + 23416297.

It is an arithmetic number, because the mean of its divisors is an integer number (316440432).

Almost surely, 2^42405274912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42405274912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60756562944).

42405274912 is an abundant number, since it is smaller than the sum of its proper divisors (79107850976).

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

42405274912 is a wasteful number, since it uses less digits than its factorization.

42405274912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 42405274912 in words is "forty-two billion, four hundred five million, two hundred seventy-four thousand, nine hundred twelve".