1234414144321 has 16 divisors (see below), whose sum is σ = 1254432106368. Its totient is φ = 1214552944000.

The previous prime is 1234414144307. The next prime is 1234414144361.

1234414144321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1234414144321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1234414144361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87212181 + ... + 87226333.

It is an arithmetic number, because the mean of its divisors is an integer number (78402006648).

Almost surely, 2^{1234414144321} is an apocalyptic number.

It is an amenable number.

1234414144321 is a deficient number, since it is larger than the sum of its proper divisors (20017962047).

1234414144321 is a wasteful number, since it uses less digits than its factorization.

1234414144321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19592.

The product of its digits is 36864, while the sum is 34.

The spelling of 1234414144321 in words is "one trillion, two hundred thirty-four billion, four hundred fourteen million, one hundred forty-four thousand, three hundred twenty-one".