820040310032 has 20 divisors (see below), whose sum is σ = 1682288577756. Its totient is φ = 385901322240.

The previous prime is 820040310013. The next prime is 820040310043. The reversal of 820040310032 is 230013040028.

It can be written as a sum of positive squares in 2 ways, for example, as 248498262016 + 571542048016 = 498496^2 + 756004^2 .

It is a super-2 number, since 2×820040310032² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1507426769 + ... + 1507427312.

Almost surely, 2^820040310032 is an apocalyptic number.

It is an amenable number.

820040310032 is an abundant number, since it is smaller than the sum of its proper divisors (862248267724).

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

820040310032 is a wasteful number, since it uses less digits than its factorization.

820040310032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014854106 (or 3014854100 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The spelling of 820040310032 in words is "eight hundred twenty billion, forty million, three hundred ten thousand, thirty-two".