4067004040040 has 16 divisors (see below), whose sum is σ = 9150759090180. Its totient is φ = 1626801616000.

The previous prime is 4067004039991. The next prime is 4067004040087. The reversal of 4067004040040 is 400404007604.

4067004040040 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 2 ways, for example, as 4049520324964 + 17483715076 = 2012342^2 + 132226^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4067004039985 and 4067004040012.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50837550461 + ... + 50837550540.

Almost surely, 2^{4067004040040} is an apocalyptic number.

4067004040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4067004040040 is an abundant number, since it is smaller than the sum of its proper divisors (5083755050140).

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

4067004040040 is a wasteful number, since it uses less digits than its factorization.

4067004040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101675101012 (or 101675101008 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

Adding to 4067004040040 its reverse (400404007604), we get a palindrome (4467408047644).

The spelling of 4067004040040 in words is "four trillion, sixty-seven billion, four million, forty thousand, forty".