4244402200400 has 30 divisors (see below), whose sum is σ = 10197176287422. Its totient is φ = 1697760880000.

The previous prime is 4244402200397. The next prime is 4244402200421. The reversal of 4244402200400 is 40022044424.

It can be written as a sum of positive squares in 3 ways, for example, as 56878434064 + 4187523766336 = 238492^2 + 2046344^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4244402200400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5305502351 + ... + 5305503150.

Almost surely, 2^{4244402200400} is an apocalyptic number.

4244402200400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4244402200400 is an abundant number, since it is smaller than the sum of its proper divisors (5952774087022).

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

4244402200400 is a wasteful number, since it uses less digits than its factorization.

4244402200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10611005519 (or 10611005508 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 4244402200400 its reverse (40022044424), we get a palindrome (4284424244824).

The spelling of 4244402200400 in words is "four trillion, two hundred forty-four billion, four hundred two million, two hundred thousand, four hundred".