12416424000 has 448 divisors, whose sum is σ = 43865352960. Its totient is φ = 3085516800.

The previous prime is 12416423953. The next prime is 12416424049. The reversal of 12416424000 is 42461421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33287814 + ... + 33288186.

Almost surely, 2^12416424000 is an apocalyptic number.

12416424000 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 12416424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21932676480).

12416424000 is an abundant number, since it is smaller than the sum of its proper divisors (31448928960).

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

12416424000 is a wasteful number, since it uses less digits than its factorization.

12416424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12416424000 its reverse (42461421), we get a palindrome (12458885421).

The spelling of 12416424000 in words is "twelve billion, four hundred sixteen million, four hundred twenty-four thousand".