4466399616000 has 3520 divisors, whose sum is σ = 20772418867200. Its totient is φ = 931627008000.

The previous prime is 4466399615989. The next prime is 4466399616053. The reversal of 4466399616000 is 6169936644.

4466399616000 is a `hidden beast` number, since 4 + 466 + 39 + 96 + 1 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 319 ways as a sum of consecutive naturals, for example, 56536703961 + ... + 56536704039.

It is an arithmetic number, because the mean of its divisors is an integer number (5901255360).

Almost surely, 2^{4466399616000} is an apocalyptic number.

4466399616000 is a gapful number since it is divisible by the number (40) 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 4466399616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10386209433600).

4466399616000 is an abundant number, since it is smaller than the sum of its proper divisors (16306019251200).

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

4466399616000 is a wasteful number, since it uses less digits than its factorization.

4466399616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 4466399616000 in words is "four trillion, four hundred sixty-six billion, three hundred ninety-nine million, six hundred sixteen thousand".