441311442400 has 72 divisors (see below), whose sum is σ = 1102406332104. Its totient is φ = 172419340800.

The previous prime is 441311442371. The next prime is 441311442401. The reversal of 441311442400 is 4244113144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441311442401) 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, 6380011 + ... + 6448810.

It is an arithmetic number, because the mean of its divisors is an integer number (15311199057).

Almost surely, 2^441311442400 is an apocalyptic number.

441311442400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441311442400 is an abundant number, since it is smaller than the sum of its proper divisors (661094889704).

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

441311442400 is a wasteful number, since it uses less digits than its factorization.

441311442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12828884 (or 12828871 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 441311442400 its reverse (4244113144), we get a palindrome (445555555544).

The spelling of 441311442400 in words is "four hundred forty-one billion, three hundred eleven million, four hundred forty-two thousand, four hundred".