42791027328 has 240 divisors, whose sum is σ = 148138249050. Its totient is φ = 12225862656.

The previous prime is 42791027303. The next prime is 42791027329. The reversal of 42791027328 is 82372019724.

It can be written as a sum of positive squares in only one way, i.e., 42077496384 + 713530944 = 205128^2 + 26712^2 .

It is not an unprimeable number, because it can be changed into a prime (42791027329) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 465918 + ... + 550146.

Almost surely, 2^42791027328 is an apocalyptic number.

42791027328 is a gapful number since it is divisible by the number (48) 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 42791027328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74069124525).

42791027328 is an abundant number, since it is smaller than the sum of its proper divisors (105347221722).

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

42791027328 is an equidigital number, since it uses as much as digits as its factorization.

42791027328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84269 (or 84241 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 42791027328 in words is "forty-two billion, seven hundred ninety-one million, twenty-seven thousand, three hundred twenty-eight".