4402422240400 has 60 divisors (see below), whose sum is σ = 10750209974644. Its totient is φ = 1732100544000.

The previous prime is 4402422240383. The next prime is 4402422240409. The reversal of 4402422240400 is 40422242044.

It can be written as a sum of positive squares in 6 ways, for example, as 864833041296 + 3537589199104 = 929964^2 + 1880848^2 .

It is not an unprimeable number, because it can be changed into a prime (4402422240409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90189171 + ... + 90237970.

Almost surely, 2^{4402422240400} is an apocalyptic number.

4402422240400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4402422240400 is an abundant number, since it is smaller than the sum of its proper divisors (6347787734244).

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

4402422240400 is a wasteful number, since it uses less digits than its factorization.

4402422240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180427220 (or 180427209 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4402422240400 its reverse (40422242044), we get a palindrome (4442844482444).

The spelling of 4402422240400 in words is "four trillion, four hundred two billion, four hundred twenty-two million, two hundred forty thousand, four hundred".