201241440 has 288 divisors, whose sum is σ = 731203200. Its totient is φ = 50319360.

The previous prime is 201241423. The next prime is 201241441. The reversal of 201241440 is 44142102.

201241440 is a `hidden beast` number, since 201 + 24 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×201241440³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201241441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2547321 + ... + 2547399.

It is an arithmetic number, because the mean of its divisors is an integer number (2538900).

Almost surely, 2^201241440 is an apocalyptic number.

201241440 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 201241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365601600).

201241440 is an abundant number, since it is smaller than the sum of its proper divisors (529961760).

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

201241440 is a wasteful number, since it uses less digits than its factorization.

201241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 179 counting only the distinct ones).

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

The square root of 201241440 is about 14185.9592555456. The cubic root of 201241440 is about 586.0110502018.

Adding to 201241440 its reverse (44142102), we get a palindrome (245383542).

The spelling of 201241440 in words is "two hundred one million, two hundred forty-one thousand, four hundred forty".