12491366400 has 504 divisors, whose sum is σ = 46586174544. Its totient is φ = 3317760000.

The previous prime is 12491366387. The next prime is 12491366411. The reversal of 12491366400 is 466319421.

12491366400 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 1 + 3 + 6 + 640 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 49766275 + ... + 49766525.

It is an arithmetic number, because the mean of its divisors is an integer number (92432886).

Almost surely, 2^12491366400 is an apocalyptic number.

12491366400 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 12491366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23293087272).

12491366400 is an abundant number, since it is smaller than the sum of its proper divisors (34094808144).

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

12491366400 is an frugal number, since it uses more digits than its factorization.

12491366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12491366400 in words is "twelve billion, four hundred ninety-one million, three hundred sixty-six thousand, four hundred".