441231442400 has 144 divisors (see below), whose sum is σ = 1232516113920. Its totient is φ = 151097433600.

The previous prime is 441231442397. The next prime is 441231442417. The reversal of 441231442400 is 4244132144.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4651445 + ... + 4745355.

It is an arithmetic number, because the mean of its divisors is an integer number (8559139680).

Almost surely, 2^441231442400 is an apocalyptic number.

441231442400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441231442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616258056960).

441231442400 is an abundant number, since it is smaller than the sum of its proper divisors (791284671520).

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

441231442400 is a wasteful number, since it uses less digits than its factorization.

441231442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94777 (or 94764 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 441231442400 its reverse (4244132144), we get a palindrome (445475574544).

The spelling of 441231442400 in words is "four hundred forty-one billion, two hundred thirty-one million, four hundred forty-two thousand, four hundred".