4000209040 has 40 divisors (see below), whose sum is σ = 9382812408. Its totient is φ = 1585920000.

The previous prime is 4000209029. The next prime is 4000209077. The reversal of 4000209040 is 409020004.

4000209040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7485696 + 3992723344 = 2736^2 + 63188^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×4000209040³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4000208999 and 4000209017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212211 + ... + 230290.

Almost surely, 2^4000209040 is an apocalyptic number.

4000209040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000209040 is an abundant number, since it is smaller than the sum of its proper divisors (5382603368).

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

4000209040 is a wasteful number, since it uses less digits than its factorization.

4000209040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442627 (or 442621 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 4000209040 is about 63247.2057880821. The cubic root of 4000209040 is about 1587.4287040128.

Adding to 4000209040 its reverse (409020004), we get a palindrome (4409229044).

It can be divided in two parts, 400020 and 9040, that added together give a triangular number (409060 = T₉₀₄).

The spelling of 4000209040 in words is "four billion, two hundred nine thousand, forty".