441314113200000 has 384 divisors, whose sum is σ = 1465413217238880. Its totient is φ = 117667200000000.

The previous prime is 441314113199983. The next prime is 441314113200041. The reversal of 441314113200000 is 2311413144.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10201178370 + ... + 10201221630.

Almost surely, 2^{441314113200000} is an apocalyptic number.

441314113200000 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 441314113200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732706608619440).

441314113200000 is an abundant number, since it is smaller than the sum of its proper divisors (1024099104038880).

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

441314113200000 is an frugal number, since it uses more digits than its factorization.

441314113200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51804 (or 51772 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 441314113200000 its reverse (2311413144), we get a palindrome (441316424613144).

The spelling of 441314113200000 in words is "four hundred forty-one trillion, three hundred fourteen billion, one hundred thirteen million, two hundred thousand".