443025210161142 has 192 divisors, whose sum is σ = 1124739592704000. Its totient is φ = 123416499939264.

The previous prime is 443025210161129. The next prime is 443025210161203. The reversal of 443025210161142 is 241161012520344.

443025210161142 is a `hidden beast` number, since 4 + 4 + 3 + 0 + 2 + 521 + 0 + 16 + 114 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 443025210161097 and 443025210161106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1052748823 + ... + 1053169565.

It is an arithmetic number, because the mean of its divisors is an integer number (5858018712000).

Almost surely, 2^{443025210161142} is an apocalyptic number.

443025210161142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 443025210161142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562369796352000).

443025210161142 is an abundant number, since it is smaller than the sum of its proper divisors (681714382542858).

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

443025210161142 is a wasteful number, since it uses less digits than its factorization.

443025210161142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421975 (or 421972 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 443025210161142 its reverse (241161012520344), we get a palindrome (684186222681486).

The spelling of 443025210161142 in words is "four hundred forty-three trillion, twenty-five billion, two hundred ten million, one hundred sixty-one thousand, one hundred forty-two".