4000404410000 has 50 divisors (see below), whose sum is σ = 9685379141262. Its totient is φ = 1600161760000.

The previous prime is 4000404409999. The next prime is 4000404410069. The reversal of 4000404410000 is 144040004.

4000404410000 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 5 ways, for example, as 1785355613584 + 2215048796416 = 1336172^2 + 1488304^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 200010221 + ... + 200030220.

Almost surely, 2^{4000404410000} is an apocalyptic number.

4000404410000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000404410000 is an abundant number, since it is smaller than the sum of its proper divisors (5684974731262).

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

4000404410000 is an equidigital number, since it uses as much as digits as its factorization.

4000404410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400040469 (or 400040448 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 4000404410000 its reverse (144040004), we get a palindrome (4000548450004).

The spelling of 4000404410000 in words is "four trillion, four hundred four million, four hundred ten thousand".