311440304000001 has 64 divisors (see below), whose sum is σ = 487879130741760. Its totient is φ = 174602552924160.

The previous prime is 311440303999997. The next prime is 311440304000009. The reversal of 311440304000001 is 100000403044113.

It is not a de Polignac number, because 311440304000001 - 2² = 311440303999997 is a prime.

It is a super-2 number, since 2×311440304000001² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311440304000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164121325 + ... + 166008101.

It is an arithmetic number, because the mean of its divisors is an integer number (7623111417840).

Almost surely, 2^{311440304000001} is an apocalyptic number.

It is an amenable number.

311440304000001 is a deficient number, since it is larger than the sum of its proper divisors (176438826741759).

311440304000001 is a wasteful number, since it uses less digits than its factorization.

311440304000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891854.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 311440304000001 its reverse (100000403044113), we get a palindrome (411440707044114).

The spelling of 311440304000001 in words is "three hundred eleven trillion, four hundred forty billion, three hundred four million, one", and thus it is an aban number.