42950328320 has 72 divisors (see below), whose sum is σ = 103081967604. Its totient is φ = 17179869184.

The previous prime is 42950328307. The next prime is 42950328329. The reversal of 42950328320 is 2382305924.

It can be written as a sum of positive squares in 2 ways, for example, as 38755434496 + 4194893824 = 196864^2 + 64768^2 .

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (42950328329) by changing a digit.

In principle, a polygon with 42950328320 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 622592 + ... + 688128.

Almost surely, 2^42950328320 is an apocalyptic number.

42950328320 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 42950328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51540983802).

42950328320 is an abundant number, since it is smaller than the sum of its proper divisors (60131639284).

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

42950328320 is an frugal number, since it uses more digits than its factorization.

42950328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65576 (or 65544 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 42950328320 in words is "forty-two billion, nine hundred fifty million, three hundred twenty-eight thousand, three hundred twenty".