201144420 has 72 divisors (see below), whose sum is σ = 618770880. Its totient is φ = 52879680.

The previous prime is 201144403. The next prime is 201144421. The reversal of 201144420 is 24441102.

201144420 is a `hidden beast` number, since 201 + 1 + 44 + 420 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201144393 and 201144402.

It is not an unprimeable number, because it can be changed into a prime (201144421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4911 + ... + 20649.

It is an arithmetic number, because the mean of its divisors is an integer number (8594040).

Almost surely, 2^201144420 is an apocalyptic number.

201144420 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 201144420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309385440).

201144420 is an abundant number, since it is smaller than the sum of its proper divisors (417626460).

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

201144420 is a wasteful number, since it uses less digits than its factorization.

201144420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15825 (or 15820 counting only the distinct ones).

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

The square root of 201144420 is about 14182.5392648848. The cubic root of 201144420 is about 585.9168616304.

Adding to 201144420 its reverse (24441102), we get a palindrome (225585522).

The spelling of 201144420 in words is "two hundred one million, one hundred forty-four thousand, four hundred twenty".