1442664224406 has 96 divisors (see below), whose sum is σ = 3340399915008. Its totient is φ = 449233983360.

The previous prime is 1442664224401. The next prime is 1442664224411. The reversal of 1442664224406 is 6044224662441.

1442664224406 is a `hidden beast` number, since 14 + 4 + 2 + 6 + 6 + 4 + 224 + 406 = 666.

It is an interprime number because it is at equal distance from previous prime (1442664224401) and next prime (1442664224411).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442664224401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1537725 + ... + 2291271.

It is an arithmetic number, because the mean of its divisors is an integer number (34795832448).

Almost surely, 2^{1442664224406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442664224406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670199957504).

1442664224406 is an abundant number, since it is smaller than the sum of its proper divisors (1897735690602).

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

1442664224406 is a wasteful number, since it uses less digits than its factorization.

1442664224406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753706 (or 753703 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

Adding to 1442664224406 its reverse (6044224662441), we get a palindrome (7486888886847).

The spelling of 1442664224406 in words is "one trillion, four hundred forty-two billion, six hundred sixty-four million, two hundred twenty-four thousand, four hundred six".