4004000044040 has 32 divisors (see below), whose sum is σ = 9054731081880. Its totient is φ = 1593470065152.

The previous prime is 4004000044021. The next prime is 4004000044061. The reversal of 4004000044040 is 404400004004.

It can be written as a sum of positive squares in 4 ways, for example, as 3039004239076 + 964995804964 = 1743274^2 + 982342^2 .

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, 254053037 + ... + 254068796.

Almost surely, 2^{4004000044040} is an apocalyptic number.

4004000044040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004000044040 is an abundant number, since it is smaller than the sum of its proper divisors (5050731037840).

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

4004000044040 is a wasteful number, since it uses less digits than its factorization.

4004000044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508122041 (or 508122037 counting only the distinct ones).

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

Adding to 4004000044040 its reverse (404400004004), we get a palindrome (4408400048044).

The spelling of 4004000044040 in words is "four trillion, four billion, forty-four thousand, forty", and thus it is an eban number.