12408566400 has 576 divisors, whose sum is σ = 46614204000. Its totient is φ = 3138723840.

The previous prime is 12408566389. The next prime is 12408566437. The reversal of 12408566400 is 466580421.

12408566400 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 8 + 5 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69321511 + ... + 69321689.

Almost surely, 2^12408566400 is an apocalyptic number.

12408566400 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 12408566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23307102000).

12408566400 is an abundant number, since it is smaller than the sum of its proper divisors (34205637600).

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

12408566400 is a wasteful number, since it uses less digits than its factorization.

12408566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12408566400 in words is "twelve billion, four hundred eight million, five hundred sixty-six thousand, four hundred".