11240144214201 has 42 divisors (see below), whose sum is σ = 19603936813482. Its totient is φ = 6422939530560.

The previous prime is 11240144214199. The next prime is 11240144214239. The reversal of 11240144214201 is 10241244104211.

11240144214201 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 0 + 1 + 442 + 14 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7803195296400 + 3436948917801 = 2793420^2 + 1853901^2 .

It is not a de Polignac number, because 11240144214201 - 2¹ = 11240144214199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11240144214241) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 157296720 + ... + 157368161.

It is an arithmetic number, because the mean of its divisors is an integer number (466760400321).

Almost surely, 2^{11240144214201} is an apocalyptic number.

It is an amenable number.

11240144214201 is a deficient number, since it is larger than the sum of its proper divisors (8363792599281).

11240144214201 is an frugal number, since it uses more digits than its factorization.

11240144214201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314664913 (or 314664891 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 11240144214201 its reverse (10241244104211), we get a palindrome (21481388318412).

The spelling of 11240144214201 in words is "eleven trillion, two hundred forty billion, one hundred forty-four million, two hundred fourteen thousand, two hundred one".