1141728271411 has 64 divisors (see below), whose sum is σ = 1449173972736. Its totient is φ = 875639808000.

The previous prime is 1141728271399. The next prime is 1141728271427.

It is a happy number.

1141728271411 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1141728271411 - 2⁵ = 1141728271379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1141728271511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91912981 + ... + 91925401.

It is an arithmetic number, because the mean of its divisors is an integer number (22643343324).

Almost surely, 2^{1141728271411} is an apocalyptic number.

1141728271411 is a deficient number, since it is larger than the sum of its proper divisors (307445701325).

1141728271411 is a wasteful number, since it uses less digits than its factorization.

1141728271411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12752.

The product of its digits is 25088, while the sum is 40.

The spelling of 1141728271411 in words is "one trillion, one hundred forty-one billion, seven hundred twenty-eight million, two hundred seventy-one thousand, four hundred eleven".