4040040004040 has 32 divisors (see below), whose sum is σ = 9106892442360. Its totient is φ = 1613028902400.

The previous prime is 4040040004031. The next prime is 4040040004081. The reversal of 4040040004040 is 404000400404.

It can be written as a sum of positive squares in 4 ways, for example, as 3554891535364 + 485148468676 = 1885442^2 + 696526^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 93324941 + ... + 93368220.

Almost surely, 2^{4040040004040} is an apocalyptic number.

4040040004040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040040004040 is an abundant number, since it is smaller than the sum of its proper divisors (5066852438320).

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

4040040004040 is a wasteful number, since it uses less digits than its factorization.

4040040004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186693713 (or 186693709 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 4040040004040 its reverse (404000400404), we get a palindrome (4444040404444).

The spelling of 4040040004040 in words is "four trillion, forty billion, forty million, four thousand, forty", and thus it is an eban number.