12425418144 has 288 divisors, whose sum is σ = 39631999680. Its totient is φ = 3816087552.

The previous prime is 12425418127. The next prime is 12425418157. The reversal of 12425418144 is 44181452421.

12425418144 is a `hidden beast` number, since 12 + 425 + 4 + 181 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12425418099 and 12425418108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5465392 + ... + 5467664.

It is an arithmetic number, because the mean of its divisors is an integer number (137611110).

Almost surely, 2^12425418144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12425418144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19815999840).

12425418144 is an abundant number, since it is smaller than the sum of its proper divisors (27206581536).

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

12425418144 is a wasteful number, since it uses less digits than its factorization.

12425418144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2334 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The spelling of 12425418144 in words is "twelve billion, four hundred twenty-five million, four hundred eighteen thousand, one hundred forty-four".