4104204144400 has 120 divisors (see below), whose sum is σ = 10445348658024. Its totient is φ = 1544375500800.

The previous prime is 4104204144329. The next prime is 4104204144487. The reversal of 4104204144400 is 44414024014.

4104204144400 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 12 ways, for example, as 2748274315264 + 1355929829136 = 1657792^2 + 1164444^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14225580 + ... + 14511220.

Almost surely, 2^{4104204144400} is an apocalyptic number.

4104204144400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4104204144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222674329012).

4104204144400 is an abundant number, since it is smaller than the sum of its proper divisors (6341144513624).

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

4104204144400 is a wasteful number, since it uses less digits than its factorization.

4104204144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287789 (or 287778 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 4104204144400 its reverse (44414024014), we get a palindrome (4148618168414).

The spelling of 4104204144400 in words is "four trillion, one hundred four billion, two hundred four million, one hundred forty-four thousand, four hundred".