4083640723204 has 243 divisors, whose sum is σ = 8982945759879. Its totient is φ = 1619389890720.

The previous prime is 4083640723193. The next prime is 4083640723243. The reversal of 4083640723204 is 4023270463804.

The square root of 4083640723204 is 2020802.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×4083640723204² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 38164866519 + ... + 38164866625.

Almost surely, 2^{4083640723204} is an apocalyptic number.

4083640723204 is the 2020802-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4083640723204

4083640723204 is an abundant number, since it is smaller than the sum of its proper divisors (4899305036675).

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

4083640723204 is a wasteful number, since it uses less digits than its factorization.

4083640723204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 43.

The spelling of 4083640723204 in words is "four trillion, eighty-three billion, six hundred forty million, seven hundred twenty-three thousand, two hundred four".