4140004200213 has 16 divisors (see below), whose sum is σ = 6437324316800. Its totient is φ = 2365716685248.

The previous prime is 4140004200151. The next prime is 4140004200247. The reversal of 4140004200213 is 3120024000414.

It is not a de Polignac number, because 4140004200213 - 2⁶ = 4140004200149 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4140004200213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140004220213) 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, 2011662820 + ... + 2011664877.

It is an arithmetic number, because the mean of its divisors is an integer number (402332769800).

Almost surely, 2^{4140004200213} is an apocalyptic number.

It is an amenable number.

4140004200213 is a deficient number, since it is larger than the sum of its proper divisors (2297320116587).

4140004200213 is an equidigital number, since it uses as much as digits as its factorization.

4140004200213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4023327721 (or 4023327707 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 4140004200213 its reverse (3120024000414), we get a palindrome (7260028200627).

The spelling of 4140004200213 in words is "four trillion, one hundred forty billion, four million, two hundred thousand, two hundred thirteen".