4000434002213 has 8 divisors (see below), whose sum is σ = 4620822163200. Its totient is φ = 3422831231680.

The previous prime is 4000434002207. The next prime is 4000434002219. The reversal of 4000434002213 is 3122004340004.

4000434002213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4000434002207) and next prime (4000434002219).

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 4000434002213 - 2¹² = 4000433998117 is a prime.

It is a super-4 number, since 4×4000434002213⁴ (a number of 52 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000434002219) 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, 10696347413 + ... + 10696347786.

It is an arithmetic number, because the mean of its divisors is an integer number (577602770400).

Almost surely, 2^{4000434002213} is an apocalyptic number.

It is an amenable number.

4000434002213 is a deficient number, since it is larger than the sum of its proper divisors (620388160987).

4000434002213 is a wasteful number, since it uses less digits than its factorization.

4000434002213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21392695227.

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 4000434002213 its reverse (3122004340004), we get a palindrome (7122438342217).

The spelling of 4000434002213 in words is "four trillion, four hundred thirty-four million, two thousand, two hundred thirteen".