400344334311 has 16 divisors (see below), whose sum is σ = 538809786368. Its totient is φ = 264393914400.

The previous prime is 400344334261. The next prime is 400344334343. The reversal of 400344334311 is 113433443004.

It is not a de Polignac number, because 400344334311 - 2¹⁰ = 400344333287 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 (400344334111) 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, 542995 + ... + 1046676.

It is an arithmetic number, because the mean of its divisors is an integer number (33675611648).

Almost surely, 2^400344334311 is an apocalyptic number.

400344334311 is a deficient number, since it is larger than the sum of its proper divisors (138465452057).

400344334311 is a wasteful number, since it uses less digits than its factorization.

400344334311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590462.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 400344334311 its reverse (113433443004), we get a palindrome (513777777315).

The spelling of 400344334311 in words is "four hundred billion, three hundred forty-four million, three hundred thirty-four thousand, three hundred eleven".