10412144320 has 112 divisors (see below), whose sum is σ = 25384036608. Its totient is φ = 4066872320.

The previous prime is 10412144317. The next prime is 10412144341. The reversal of 10412144320 is 2344121401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10412144291 and 10412144300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2428899 + ... + 2433181.

It is an arithmetic number, because the mean of its divisors is an integer number (226643184).

Almost surely, 2^10412144320 is an apocalyptic number.

10412144320 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 10412144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12692018304).

10412144320 is an abundant number, since it is smaller than the sum of its proper divisors (14971892288).

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

10412144320 is a wasteful number, since it uses less digits than its factorization.

10412144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4478 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10412144320 its reverse (2344121401), we get a palindrome (12756265721).

The spelling of 10412144320 in words is "ten billion, four hundred twelve million, one hundred forty-four thousand, three hundred twenty".