1240414312321 has 8 divisors (see below), whose sum is σ = 1241684728200. Its totient is φ = 1239144066048.

The previous prime is 1240414312229. The next prime is 1240414312327. The reversal of 1240414312321 is 1232134140421.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 530077188096 + 710337124225 = 728064^2 + 842815^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1240414312321 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1240414312321.

It is not an unprimeable number, because it can be changed into a prime (1240414312327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18824985 + ... + 18890761.

It is an arithmetic number, because the mean of its divisors is an integer number (155210591025).

Almost surely, 2^{1240414312321} is an apocalyptic number.

It is an amenable number.

1240414312321 is a deficient number, since it is larger than the sum of its proper divisors (1270415879).

1240414312321 is a wasteful number, since it uses less digits than its factorization.

1240414312321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84803.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1240414312321 its reverse (1232134140421), we get a palindrome (2472548452742).

The spelling of 1240414312321 in words is "one trillion, two hundred forty billion, four hundred fourteen million, three hundred twelve thousand, three hundred twenty-one".