201140220040 has 128 divisors (see below), whose sum is σ = 463590345600. Its totient is φ = 78523914240.

The previous prime is 201140220013. The next prime is 201140220109. The reversal of 201140220040 is 40022041102.

It is a junction number, because it is equal to n+sod(n) for n = 201140219996 and 201140220023.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128032455 + ... + 128034025.

It is an arithmetic number, because the mean of its divisors is an integer number (3621799575).

Almost surely, 2^201140220040 is an apocalyptic number.

201140220040 is a gapful number since it is divisible by the number (20) 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 201140220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231795172800).

201140220040 is an abundant number, since it is smaller than the sum of its proper divisors (262450125560).

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

201140220040 is a wasteful number, since it uses less digits than its factorization.

201140220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 201140220040 its reverse (40022041102), we get a palindrome (241162261142).

The spelling of 201140220040 in words is "two hundred one billion, one hundred forty million, two hundred twenty thousand, forty".