443142013114400 has 144 divisors (see below), whose sum is σ = 1084351675176000. Its totient is φ = 176842111196160.

The previous prime is 443142013114279. The next prime is 443142013114421. The reversal of 443142013114400 is 4411310241344.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8064578126 + ... + 8064633074.

It is an arithmetic number, because the mean of its divisors is an integer number (7530219966500).

Almost surely, 2^{443142013114400} is an apocalyptic number.

443142013114400 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 443142013114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542175837588000).

443142013114400 is an abundant number, since it is smaller than the sum of its proper divisors (641209662061600).

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

443142013114400 is a wasteful number, since it uses less digits than its factorization.

443142013114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78371 (or 78358 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 443142013114400 its reverse (4411310241344), we get a palindrome (447553323355744).

The spelling of 443142013114400 in words is "four hundred forty-three trillion, one hundred forty-two billion, thirteen million, one hundred fourteen thousand, four hundred".