201424140 has 144 divisors (see below), whose sum is σ = 646289280. Its totient is φ = 50695680.

The previous prime is 201424129. The next prime is 201424147. The reversal of 201424140 is 41424102.

201424140 is a `hidden beast` number, since 201 + 424 + 1 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (201424147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244930 + ... + 245750.

It is an arithmetic number, because the mean of its divisors is an integer number (4488120).

Almost surely, 2^201424140 is an apocalyptic number.

201424140 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 201424140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323144640).

201424140 is an abundant number, since it is smaller than the sum of its proper divisors (444865140).

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

201424140 is a wasteful number, since it uses less digits than its factorization.

201424140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 907 counting only the distinct ones).

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

The square root of 201424140 is about 14192.3972605054. The cubic root of 201424140 is about 586.1883361446.

Adding to 201424140 its reverse (41424102), we get a palindrome (242848242).

The spelling of 201424140 in words is "two hundred one million, four hundred twenty-four thousand, one hundred forty".