10416430416 has 160 divisors (see below), whose sum is σ = 31347993600. Its totient is φ = 2919121920.

The previous prime is 10416430397. The next prime is 10416430429. The reversal of 10416430416 is 61403461401.

10416430416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10416430416² (a number of 21 digits) contains 22 as substring.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 3916095 + ... + 3918753.

It is an arithmetic number, because the mean of its divisors is an integer number (195924960).

Almost surely, 2^10416430416 is an apocalyptic number.

10416430416 is a gapful number since it is divisible by the number (16) 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 10416430416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15673996800).

10416430416 is an abundant number, since it is smaller than the sum of its proper divisors (20931563184).

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

10416430416 is a wasteful number, since it uses less digits than its factorization.

10416430416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 10416430416 its reverse (61403461401), we get a palindrome (71819891817).

The spelling of 10416430416 in words is "ten billion, four hundred sixteen million, four hundred thirty thousand, four hundred sixteen".