10321314444 has 144 divisors (see below), whose sum is σ = 31439699200. Its totient is φ = 2789002368.

The previous prime is 10321314439. The next prime is 10321314461. The reversal of 10321314444 is 44441312301.

10321314444 is a `hidden beast` number, since 1 + 0 + 3 + 213 + 1 + 4 + 444 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3536874 + ... + 3539790.

Almost surely, 2^10321314444 is an apocalyptic number.

10321314444 is a gapful number since it is divisible by the number (14) 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 10321314444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15719849600).

10321314444 is an abundant number, since it is smaller than the sum of its proper divisors (21118384756).

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

10321314444 is a wasteful number, since it uses less digits than its factorization.

10321314444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10321314444 its reverse (44441312301), we get a palindrome (54762626745).

The spelling of 10321314444 in words is "ten billion, three hundred twenty-one million, three hundred fourteen thousand, four hundred forty-four".