441143340400 has 120 divisors (see below), whose sum is σ = 1211448132000. Its totient is φ = 151224852480.

The previous prime is 441143340377. The next prime is 441143340419. The reversal of 441143340400 is 4043341144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 30952476 + ... + 30966724.

It is an arithmetic number, because the mean of its divisors is an integer number (10095401100).

Almost surely, 2^441143340400 is an apocalyptic number.

441143340400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441143340400 is an abundant number, since it is smaller than the sum of its proper divisors (770304791600).

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

441143340400 is a wasteful number, since it uses less digits than its factorization.

441143340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25331 (or 25320 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 441143340400 its reverse (4043341144), we get a palindrome (445186681544).

The spelling of 441143340400 in words is "four hundred forty-one billion, one hundred forty-three million, three hundred forty thousand, four hundred".