202120320040 has 32 divisors (see below), whose sum is σ = 455052806280. Its totient is φ = 80797979392.

The previous prime is 202120320019. The next prime is 202120320043. The reversal of 202120320040 is 40023021202.

202120320040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 181361849956 + 20758470084 = 425866^2 + 144078^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202120319996 and 202120320023.

It is not an unprimeable number, because it can be changed into a prime (202120320043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1501819 + ... + 1630858.

Almost surely, 2^202120320040 is an apocalyptic number.

202120320040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202120320040 is an abundant number, since it is smaller than the sum of its proper divisors (252932486240).

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

202120320040 is a wasteful number, since it uses less digits than its factorization.

202120320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134301 (or 3134297 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 202120320040 its reverse (40023021202), we get a palindrome (242143341242).

The spelling of 202120320040 in words is "two hundred two billion, one hundred twenty million, three hundred twenty thousand, forty".