10406434160 has 80 divisors (see below), whose sum is σ = 24771852000. Its totient is φ = 4064283648.

The previous prime is 10406434151. The next prime is 10406434163. The reversal of 10406434160 is 6143460401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10406434163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 695882 + ... + 710678.

It is an arithmetic number, because the mean of its divisors is an integer number (309648150).

Almost surely, 2^10406434160 is an apocalyptic number.

10406434160 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 10406434160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12385926000).

10406434160 is an abundant number, since it is smaller than the sum of its proper divisors (14365417840).

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

10406434160 is a wasteful number, since it uses less digits than its factorization.

10406434160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15018 (or 15012 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 10406434160 its reverse (6143460401), we get a palindrome (16549894561).

The spelling of 10406434160 in words is "ten billion, four hundred six million, four hundred thirty-four thousand, one hundred sixty".