4000344231213 has 48 divisors (see below), whose sum is σ = 6607488888000. Its totient is φ = 2310310598400.

The previous prime is 4000344231137. The next prime is 4000344231241. The reversal of 4000344231213 is 3121324430004.

4000344231213 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 3 + 442 + 3 + 1 + 213 = 666.

It is not a de Polignac number, because 4000344231213 - 2³² = 3996049263917 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000344231263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11285338 + ... + 11634411.

It is an arithmetic number, because the mean of its divisors is an integer number (137656018500).

Almost surely, 2^{4000344231213} is an apocalyptic number.

4000344231213 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

4000344231213 is a deficient number, since it is larger than the sum of its proper divisors (2607144656787).

4000344231213 is a wasteful number, since it uses less digits than its factorization.

4000344231213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22919850 (or 22919847 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4000344231213 its reverse (3121324430004), we get a palindrome (7121668661217).

The spelling of 4000344231213 in words is "four trillion, three hundred forty-four million, two hundred thirty-one thousand, two hundred thirteen".