201020040 has 96 divisors (see below), whose sum is σ = 703586520. Its totient is φ = 49480704.

The previous prime is 201020011. The next prime is 201020041. The reversal of 201020040 is 40020102.

It can be written as a sum of positive squares in 4 ways, for example, as 71470116 + 129549924 = 8454^2 + 11382^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (201020041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16797 + ... + 26156.

Almost surely, 2^201020040 is an apocalyptic number.

201020040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020040 is an abundant number, since it is smaller than the sum of its proper divisors (502566480).

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

201020040 is a wasteful number, since it uses less digits than its factorization.

201020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42983 (or 42976 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 201020040 is about 14178.1536174496. The cubic root of 201020040 is about 585.7960672186.

Adding to 201020040 its reverse (40020102), we get a palindrome (241040142).

The spelling of 201020040 in words is "two hundred one million, twenty thousand, forty".