10334224410444 has 72 divisors (see below), whose sum is σ = 28497900150720. Its totient is φ = 3131528930400.

The previous prime is 10334224410443. The next prime is 10334224410451. The reversal of 10334224410444 is 44401442243301.

10334224410444 is a `hidden beast` number, since 10 + 3 + 3 + 4 + 224 + 410 + 4 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10334224410399 and 10334224410408.

It is not an unprimeable number, because it can be changed into a prime (10334224410443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26727739 + ... + 27111629.

It is an arithmetic number, because the mean of its divisors is an integer number (395804168760).

Almost surely, 2^{10334224410444} is an apocalyptic number.

It is an amenable number.

10334224410444 is an abundant number, since it is smaller than the sum of its proper divisors (18163675740276).

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

10334224410444 is a wasteful number, since it uses less digits than its factorization.

10334224410444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451891 (or 451886 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 10334224410444 its reverse (44401442243301), we get a palindrome (54735666653745).

The spelling of 10334224410444 in words is "ten trillion, three hundred thirty-four billion, two hundred twenty-four million, four hundred ten thousand, four hundred forty-four".