42820633128 has 256 divisors, whose sum is σ = 135672768000. Its totient is φ = 11190251520.

The previous prime is 42820633123. The next prime is 42820633183. The reversal of 42820633128 is 82133602824.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (42820633123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12091038 + ... + 12094578.

It is an arithmetic number, because the mean of its divisors is an integer number (529971750).

Almost surely, 2^42820633128 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 42820633128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67836384000).

42820633128 is an abundant number, since it is smaller than the sum of its proper divisors (92852134872).

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

42820633128 is a wasteful number, since it uses less digits than its factorization.

42820633128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697 (or 3679 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 42820633128 in words is "forty-two billion, eight hundred twenty million, six hundred thirty-three thousand, one hundred twenty-eight".