201144240 has 240 divisors, whose sum is σ = 746871840. Its totient is φ = 48107520.

The previous prime is 201144197. The next prime is 201144263. The reversal of 201144240 is 42441102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 863164 + ... + 863396.

It is an arithmetic number, because the mean of its divisors is an integer number (3111966).

Almost surely, 2^201144240 is an apocalyptic number.

201144240 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 201144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373435920).

201144240 is an abundant number, since it is smaller than the sum of its proper divisors (545727600).

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

201144240 is a wasteful number, since it uses less digits than its factorization.

201144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 201144240 is about 14182.5329190522. The cubic root of 201144240 is about 585.9166868554.

Adding to 201144240 its reverse (42441102), we get a palindrome (243585342).

It can be divided in two parts, 201 and 144240, that added together give a palindrome (144441).

The spelling of 201144240 in words is "two hundred one million, one hundred forty-four thousand, two hundred forty".