4000644206406 has 72 divisors (see below), whose sum is σ = 8862476747904. Its totient is φ = 1304281155360.

The previous prime is 4000644206369. The next prime is 4000644206407. The reversal of 4000644206406 is 6046024460004.

It is a happy number.

4000644206406 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 6 + 4 + 4 + 2 + 0 + 640 + 6 = 666.

It is a super-3 number, since 3×4000644206406³ (a number of 39 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000644206407) 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 35 ways as a sum of consecutive naturals, for example, 59330971 + ... + 59398361.

It is an arithmetic number, because the mean of its divisors is an integer number (123089954832).

Almost surely, 2^{4000644206406} is an apocalyptic number.

4000644206406 is an abundant number, since it is smaller than the sum of its proper divisors (4861832541498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4000644206406 is a wasteful number, since it uses less digits than its factorization.

4000644206406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68986 (or 68936 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 4000644206406 in words is "four trillion, six hundred forty-four million, two hundred six thousand, four hundred six".