10340313144 has 128 divisors (see below), whose sum is σ = 30552215040. Its totient is φ = 2855204352.

The previous prime is 10340313131. The next prime is 10340313169. The reversal of 10340313144 is 44131304301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587902 + ... + 605234.

It is an arithmetic number, because the mean of its divisors is an integer number (238689180).

Almost surely, 2^10340313144 is an apocalyptic number.

10340313144 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 10340313144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15276107520).

10340313144 is an abundant number, since it is smaller than the sum of its proper divisors (20211901896).

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

10340313144 is a wasteful number, since it uses less digits than its factorization.

10340313144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17469 (or 17465 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10340313144 its reverse (44131304301), we get a palindrome (54471617445).

The spelling of 10340313144 in words is "ten billion, three hundred forty million, three hundred thirteen thousand, one hundred forty-four".