201141240 has 64 divisors (see below), whose sum is σ = 606528000. Its totient is φ = 53361792.

The previous prime is 201141223. The next prime is 201141289. The reversal of 201141240 is 42141102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19669 + ... + 28091.

It is an arithmetic number, because the mean of its divisors is an integer number (9477000).

Almost surely, 2^201141240 is an apocalyptic number.

201141240 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 201141240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303264000).

201141240 is an abundant number, since it is smaller than the sum of its proper divisors (405386760).

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

201141240 is a wasteful number, since it uses less digits than its factorization.

201141240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8636 (or 8632 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 201141240 is about 14182.4271547574. The cubic root of 201141240 is about 585.9137739228.

Adding to 201141240 its reverse (42141102), we get a palindrome (243282342).

The spelling of 201141240 in words is "two hundred one million, one hundred forty-one thousand, two hundred forty".