4000312211011 has 16 divisors (see below), whose sum is σ = 4088216059200. Its totient is φ = 3912872745600.

The previous prime is 4000312210913. The next prime is 4000312211023. The reversal of 4000312211011 is 1101122130004.

It is a cyclic number.

It is not a de Polignac number, because 4000312211011 - 2³⁷ = 3862873257539 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4000312211711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121157341 + ... + 121190353.

It is an arithmetic number, because the mean of its divisors is an integer number (255513503700).

Almost surely, 2^{4000312211011} is an apocalyptic number.

4000312211011 is a deficient number, since it is larger than the sum of its proper divisors (87903848189).

4000312211011 is a wasteful number, since it uses less digits than its factorization.

4000312211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39966.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 4000312211011 its reverse (1101122130004), we get a palindrome (5101434341015).

The spelling of 4000312211011 in words is "four trillion, three hundred twelve million, two hundred eleven thousand, eleven".