4000004040040 has 64 divisors (see below), whose sum is σ = 9090488684160. Its totient is φ = 1583926959360.

The previous prime is 4000004040031. The next prime is 4000004040047. The reversal of 4000004040040 is 400404000004.

4000004040040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4000004039996 and 4000004040023.

It is not an unprimeable number, because it can be changed into a prime (4000004040047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12018675 + ... + 12347005.

It is an arithmetic number, because the mean of its divisors is an integer number (142038885690).

Almost surely, 2^{4000004040040} is an apocalyptic number.

4000004040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000004040040 is an abundant number, since it is smaller than the sum of its proper divisors (5090484644120).

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

4000004040040 is a wasteful number, since it uses less digits than its factorization.

4000004040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331402 (or 331398 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 4000004040040 its reverse (400404000004), we get a palindrome (4400408040044).

The spelling of 4000004040040 in words is "four trillion, four million, forty thousand, forty", and thus it is an eban number.