4424440200400 has 60 divisors (see below), whose sum is σ = 11596055554944. Its totient is φ = 1608887344000.

The previous prime is 4424440200373. The next prime is 4424440200409. The reversal of 4424440200400 is 40020444244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4424440200409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 502772896 + ... + 502781695.

Almost surely, 2^{4424440200400} is an apocalyptic number.

4424440200400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4424440200400 is an abundant number, since it is smaller than the sum of its proper divisors (7171615354544).

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

4424440200400 is a wasteful number, since it uses less digits than its factorization.

4424440200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005554620 (or 1005554609 counting only the distinct ones).

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

Adding to 4424440200400 its reverse (40020444244), we get a palindrome (4464460644644).

The spelling of 4424440200400 in words is "four trillion, four hundred twenty-four billion, four hundred forty million, two hundred thousand, four hundred".