12366776400 has 240 divisors, whose sum is σ = 44386022208. Its totient is φ = 2916864000.

The previous prime is 12366776377. The next prime is 12366776407. The reversal of 12366776400 is 467766321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12366776407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475740 + ... + 501060.

Almost surely, 2^12366776400 is an apocalyptic number.

12366776400 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 12366776400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22193011104).

12366776400 is an abundant number, since it is smaller than the sum of its proper divisors (32019245808).

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

12366776400 is a wasteful number, since it uses less digits than its factorization.

12366776400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25390 (or 25379 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 12366776400 in words is "twelve billion, three hundred sixty-six million, seven hundred seventy-six thousand, four hundred".