4442402344400 has 30 divisors (see below), whose sum is σ = 10672871633382. Its totient is φ = 1776960937600.

The previous prime is 4442402344397. The next prime is 4442402344403. The reversal of 4442402344400 is 44432042444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4442402344397) and next prime (4442402344403).

It can be written as a sum of positive squares in 3 ways, for example, as 47492613184 + 4394909731216 = 217928^2 + 2096404^2 .

It is a super-2 number, since 2×4442402344400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442402344403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5553002531 + ... + 5553003330.

Almost surely, 2^{4442402344400} is an apocalyptic number.

4442402344400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4442402344400 is an abundant number, since it is smaller than the sum of its proper divisors (6230469288982).

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

4442402344400 is a wasteful number, since it uses less digits than its factorization.

4442402344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11106005879 (or 11106005868 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 35.

Adding to 4442402344400 its reverse (44432042444), we get a palindrome (4486834386844).

The spelling of 4442402344400 in words is "four trillion, four hundred forty-two billion, four hundred two million, three hundred forty-four thousand, four hundred".