1000441404311 has 8 divisors (see below), whose sum is σ = 1040192889120. Its totient is φ = 961040153248.

The previous prime is 1000441404251. The next prime is 1000441404317. The reversal of 1000441404311 is 1134041440001.

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

It is a cyclic number.

It is not a de Polignac number, because 1000441404311 - 2⁶ = 1000441404247 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000441404317) 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, 87552611 + ... + 87564036.

It is an arithmetic number, because the mean of its divisors is an integer number (130024111140).

Almost surely, 2^{1000441404311} is an apocalyptic number.

1000441404311 is a deficient number, since it is larger than the sum of its proper divisors (39751484809).

1000441404311 is a wasteful number, since it uses less digits than its factorization.

1000441404311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175116873.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1000441404311 its reverse (1134041440001), we get a palindrome (2134482844312).

The spelling of 1000441404311 in words is "one trillion, four hundred forty-one million, four hundred four thousand, three hundred eleven".