443142128145600 has 1344 divisors, whose sum is σ = 1837220690905600. Its totient is φ = 103002652753920.

The previous prime is 443142128145599. The next prime is 443142128145643. The reversal of 443142128145600 is 6541821241344.

443142128145600 is a `hidden beast` number, since 4 + 4 + 3 + 1 + 4 + 2 + 1 + 2 + 81 + 4 + 560 + 0 = 666.

It is a super-2 number, since 2×443142128145600² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3275745162 + ... + 3275880438.

Almost surely, 2^{443142128145600} is an apocalyptic number.

443142128145600 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 443142128145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918610345452800).

443142128145600 is an abundant number, since it is smaller than the sum of its proper divisors (1394078562760000).

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

443142128145600 is a wasteful number, since it uses less digits than its factorization.

443142128145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135647 (or 135626 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

Adding to 443142128145600 its reverse (6541821241344), we get a palindrome (449683949386944).

The spelling of 443142128145600 in words is "four hundred forty-three trillion, one hundred forty-two billion, one hundred twenty-eight million, one hundred forty-five thousand, six hundred".