10444022413314 has 64 divisors (see below), whose sum is σ = 24234107212800. Its totient is φ = 2938770571968.

The previous prime is 10444022413313. The next prime is 10444022413337. The reversal of 10444022413314 is 41331422044401.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10444022413313) 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 31 ways as a sum of consecutive naturals, for example, 11461597 + ... + 12339215.

It is an arithmetic number, because the mean of its divisors is an integer number (378657925200).

Almost surely, 2^{10444022413314} is an apocalyptic number.

10444022413314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10444022413314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12117053606400).

10444022413314 is an abundant number, since it is smaller than the sum of its proper divisors (13790084799486).

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

10444022413314 is a wasteful number, since it uses less digits than its factorization.

10444022413314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881927.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 10444022413314 its reverse (41331422044401), we get a palindrome (51775444457715).

The spelling of 10444022413314 in words is "ten trillion, four hundred forty-four billion, twenty-two million, four hundred thirteen thousand, three hundred fourteen".