442401144400 has 60 divisors (see below), whose sum is σ = 1063760817852. Its totient is φ = 176811934720.

The previous prime is 442401144389. The next prime is 442401144403. The reversal of 442401144400 is 4441104244.

It can be written as a sum of positive squares in 6 ways, for example, as 12395704896 + 430005439504 = 111336^2 + 655748^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442401144403) 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 11 ways as a sum of consecutive naturals, for example, 13662 + ... + 940738.

Almost surely, 2^442401144400 is an apocalyptic number.

442401144400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442401144400 is an abundant number, since it is smaller than the sum of its proper divisors (621359673452).

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

442401144400 is a wasteful number, since it uses less digits than its factorization.

442401144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928288 (or 928277 counting only the distinct ones).

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

Adding to 442401144400 its reverse (4441104244), we get a palindrome (446842248644).

The spelling of 442401144400 in words is "four hundred forty-two billion, four hundred one million, one hundred forty-four thousand, four hundred".