12464474400 has 360 divisors, whose sum is σ = 51951049920. Its totient is φ = 2848919040.

The previous prime is 12464474383. The next prime is 12464474423. The reversal of 12464474400 is 447446421.

12464474400 is a `hidden beast` number, since 1 + 2 + 4 + 644 + 7 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 439861 + ... + 467339.

It is an arithmetic number, because the mean of its divisors is an integer number (144308472).

Almost surely, 2^12464474400 is an apocalyptic number.

12464474400 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 12464474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25975524960).

12464474400 is an abundant number, since it is smaller than the sum of its proper divisors (39486575520).

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

12464474400 is a wasteful number, since it uses less digits than its factorization.

12464474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27518 (or 27496 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 12464474400 in words is "twelve billion, four hundred sixty-four million, four hundred seventy-four thousand, four hundred".