4002404400400 has 60 divisors (see below), whose sum is σ = 10989458947072. Its totient is φ = 1372252936320.

The previous prime is 4002404400367. The next prime is 4002404400413. The reversal of 4002404400400 is 40044042004.

4002404400400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 714712272 + ... + 714717871.

Almost surely, 2^{4002404400400} is an apocalyptic number.

4002404400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002404400400 is an abundant number, since it is smaller than the sum of its proper divisors (6987054546672).

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

4002404400400 is a wasteful number, since it uses less digits than its factorization.

4002404400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429430168 (or 1429430157 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 4002404400400 its reverse (40044042004), we get a palindrome (4042448442404).

The spelling of 4002404400400 in words is "four trillion, two billion, four hundred four million, four hundred thousand, four hundred".