1142144412411 has 32 divisors (see below), whose sum is σ = 1568007641088. Its totient is φ = 738962904960.

The previous prime is 1142144412403. The next prime is 1142144412427.

It is a happy number.

1142144412411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1142144412411 - 2³ = 1142144412403 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1142144412011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72320926 + ... + 72336716.

It is an arithmetic number, because the mean of its divisors is an integer number (49000238784).

Almost surely, 2^{1142144412411} is an apocalyptic number.

1142144412411 is a deficient number, since it is larger than the sum of its proper divisors (425863228677).

1142144412411 is a wasteful number, since it uses less digits than its factorization.

1142144412411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17451.

The product of its digits is 4096, while the sum is 30.

The spelling of 1142144412411 in words is "one trillion, one hundred forty-two billion, one hundred forty-four million, four hundred twelve thousand, four hundred eleven".