201044441440 has 48 divisors (see below), whose sum is σ = 477006068448. Its totient is φ = 80072621056.

The previous prime is 201044441393. The next prime is 201044441441. The reversal of 201044441440 is 44144440102.

201044441440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201044441399 and 201044441408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201044441441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2659132 + ... + 2733691.

It is an arithmetic number, because the mean of its divisors is an integer number (9937626426).

Almost surely, 2^201044441440 is an apocalyptic number.

201044441440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201044441440 is an abundant number, since it is smaller than the sum of its proper divisors (275961627008).

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

201044441440 is a wasteful number, since it uses less digits than its factorization.

201044441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5393071 (or 5393063 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 201044441440 its reverse (44144440102), we get a palindrome (245188881542).

The spelling of 201044441440 in words is "two hundred one billion, forty-four million, four hundred forty-one thousand, four hundred forty".