10314304128 has 384 divisors, whose sum is σ = 33504307200. Its totient is φ = 3146480640.

The previous prime is 10314304093. The next prime is 10314304139. The reversal of 10314304128 is 82140341301.

10314304128 is a `hidden beast` number, since 103 + 1 + 430 + 4 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 18319975 + ... + 18320537.

It is an arithmetic number, because the mean of its divisors is an integer number (87250800).

Almost surely, 2^10314304128 is an apocalyptic number.

10314304128 is a gapful number since it is divisible by the number (18) 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 10314304128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16752153600).

10314304128 is an abundant number, since it is smaller than the sum of its proper divisors (23190003072).

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

10314304128 is an equidigital number, since it uses as much as digits as its factorization.

10314304128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10314304128 its reverse (82140341301), we get a palindrome (92454645429).

The spelling of 10314304128 in words is "ten billion, three hundred fourteen million, three hundred four thousand, one hundred twenty-eight".