201041280 has 384 divisors, whose sum is σ = 801964800. Its totient is φ = 45895680.

The previous prime is 201041279. The next prime is 201041287. The reversal of 201041280 is 82140102.

It is a tau number, because it is divible by the number of its divisors (384).

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 (201041287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1203757 + ... + 1203923.

It is an arithmetic number, because the mean of its divisors is an integer number (2088450).

Almost surely, 2^201041280 is an apocalyptic number.

201041280 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 201041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400982400).

201041280 is an abundant number, since it is smaller than the sum of its proper divisors (600923520).

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

201041280 is a wasteful number, since it uses less digits than its factorization.

201041280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 201041280 is about 14178.9026373694. The cubic root of 201041280 is about 585.8166984456.

Adding to 201041280 its reverse (82140102), we get a palindrome (283181382).

The spelling of 201041280 in words is "two hundred one million, forty-one thousand, two hundred eighty".