42320300040 has 160 divisors (see below), whose sum is σ = 145713035160. Its totient is φ = 11010124800.

The previous prime is 42320300027. The next prime is 42320300117. The reversal of 42320300040 is 4000302324.

42320300040 is a `hidden beast` number, since 4 + 2 + 320 + 300 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12888152676 + 29432147364 = 113526^2 + 171558^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42320299986 and 42320300022.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26451 + ... + 292130.

Almost surely, 2^42320300040 is an apocalyptic number.

42320300040 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 42320300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72856517580).

42320300040 is an abundant number, since it is smaller than the sum of its proper divisors (103392735120).

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

42320300040 is a wasteful number, since it uses less digits than its factorization.

42320300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318645 (or 318632 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 42320300040 its reverse (4000302324), we get a palindrome (46320602364).

The spelling of 42320300040 in words is "forty-two billion, three hundred twenty million, three hundred thousand, forty".