4966566998400 has 288 divisors, whose sum is σ = 20253542790000. Its totient is φ = 1135215267840.

The previous prime is 4966566998359. The next prime is 4966566998413. The reversal of 4966566998400 is 48996656694.

4966566998400 is a `hidden beast` number, since 496 + 6 + 5 + 6 + 6 + 9 + 98 + 40 + 0 = 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 (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12116275 + ... + 12519474.

Almost surely, 2^{4966566998400} is an apocalyptic number.

4966566998400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4966566998400 is an abundant number, since it is smaller than the sum of its proper divisors (15286975791600).

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

4966566998400 is a wasteful number, since it uses less digits than its factorization.

4966566998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24635786 (or 24635766 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 72.

The spelling of 4966566998400 in words is "four trillion, nine hundred sixty-six billion, five hundred sixty-six million, nine hundred ninety-eight thousand, four hundred".