10314414440 has 64 divisors (see below), whose sum is σ = 25357268160. Its totient is φ = 3744760320.

The previous prime is 10314414431. The next prime is 10314414443. The reversal of 10314414440 is 4441441301.

10314414440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10314414443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264692 + ... + 301148.

It is an arithmetic number, because the mean of its divisors is an integer number (396207315).

Almost surely, 2^10314414440 is an apocalyptic number.

10314414440 is a gapful number since it is divisible by the number (10) 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 10314414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12678634080).

10314414440 is an abundant number, since it is smaller than the sum of its proper divisors (15042853720).

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

10314414440 is a wasteful number, since it uses less digits than its factorization.

10314414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37122 (or 37118 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 10314414440 its reverse (4441441301), we get a palindrome (14755855741).

The spelling of 10314414440 in words is "ten billion, three hundred fourteen million, four hundred fourteen thousand, four hundred forty".