42033486816 has 336 divisors, whose sum is σ = 133058724624. Its totient is φ = 13017894912.

The previous prime is 42033486751. The next prime is 42033486889. The reversal of 42033486816 is 61868433024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 32915170 + ... + 32916446.

It is an arithmetic number, because the mean of its divisors is an integer number (396008109).

Almost surely, 2^42033486816 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 42033486816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66529362312).

42033486816 is an abundant number, since it is smaller than the sum of its proper divisors (91025237808).

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

42033486816 is a wasteful number, since it uses less digits than its factorization.

42033486816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 42033486816 in words is "forty-two billion, thirty-three million, four hundred eighty-six thousand, eight hundred sixteen".