10400064305 has 16 divisors (see below), whose sum is σ = 12830036688. Its totient is φ = 8088192000.

The previous prime is 10400064299. The next prime is 10400064319. The reversal of 10400064305 is 50346000401.

It is a happy number.

10400064305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2021041936 + 8379022369 = 44956^2 + 91537^2 .

It is not a de Polignac number, because 10400064305 - 2¹⁴ = 10400047921 is a prime.

It is a super-2 number, since 2×10400064305² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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, 32666 + ... + 147875.

It is an arithmetic number, because the mean of its divisors is an integer number (801877293).

Almost surely, 2^10400064305 is an apocalyptic number.

It is an amenable number.

10400064305 is a deficient number, since it is larger than the sum of its proper divisors (2429972383).

10400064305 is a wasteful number, since it uses less digits than its factorization.

10400064305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180868.

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 10400064305 its reverse (50346000401), we get a palindrome (60746064706).

The spelling of 10400064305 in words is "ten billion, four hundred million, sixty-four thousand, three hundred five".