240144114312 has 96 divisors (see below), whose sum is σ = 697736894400. Its totient is φ = 77287742784.

The previous prime is 240144114311. The next prime is 240144114313. The reversal of 240144114312 is 213411441042.

240144114312 is a `hidden beast` number, since 240 + 1 + 4 + 411 + 4 + 3 + 1 + 2 = 666.

240144114312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (240144114311) and next prime (240144114313).

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 (240144114311) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2073468 + ... + 2186219.

It is an arithmetic number, because the mean of its divisors is an integer number (7268092650).

Almost surely, 2^240144114312 is an apocalyptic number.

It is an amenable number.

240144114312 is an abundant number, since it is smaller than the sum of its proper divisors (457592780088).

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

240144114312 is a wasteful number, since it uses less digits than its factorization.

240144114312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4259737 (or 4259721 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 240144114312 its reverse (213411441042), we get a palindrome (453555555354).

The spelling of 240144114312 in words is "two hundred forty billion, one hundred forty-four million, one hundred fourteen thousand, three hundred twelve".