42738792320 has 256 divisors, whose sum is σ = 120982118400. Its totient is φ = 14128128000.

The previous prime is 42738792287. The next prime is 42738792331. The reversal of 42738792320 is 2329783724.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60967970 + ... + 60968670.

It is an arithmetic number, because the mean of its divisors is an integer number (472586400).

Almost surely, 2^42738792320 is an apocalyptic number.

42738792320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42738792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60491059200).

42738792320 is an abundant number, since it is smaller than the sum of its proper divisors (78243326080).

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

42738792320 is a wasteful number, since it uses less digits than its factorization.

42738792320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 47.

The spelling of 42738792320 in words is "forty-two billion, seven hundred thirty-eight million, seven hundred ninety-two thousand, three hundred twenty".