40002004000213 has 4 divisors (see below), whose sum is σ = 41083139243500. Its totient is φ = 38920868756928.

The previous prime is 40002004000151. The next prime is 40002004000237. The reversal of 40002004000213 is 31200040020004.

40002004000213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 35217079622404 + 4784924377809 = 5934398^2 + 2187447^2 .

It is a cyclic number.

It is not a de Polignac number, because 40002004000213 - 2³⁷ = 39864565046741 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40002004000243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 540567621588 + ... + 540567621661.

It is an arithmetic number, because the mean of its divisors is an integer number (10270784810875).

Almost surely, 2^{40002004000213} is an apocalyptic number.

It is an amenable number.

40002004000213 is a deficient number, since it is larger than the sum of its proper divisors (1081135243287).

40002004000213 is a wasteful number, since it uses less digits than its factorization.

40002004000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081135243286.

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 40002004000213 its reverse (31200040020004), we get a palindrome (71202044020217).

The spelling of 40002004000213 in words is "forty trillion, two billion, four million, two hundred thirteen", and thus it is an aban number.