4493975709600 has 432 divisors, whose sum is σ = 17697952071072. Its totient is φ = 1106208783360.

The previous prime is 4493975709583. The next prime is 4493975709607. The reversal of 4493975709600 is 69075793944.

4493975709600 is a `hidden beast` number, since 4 + 493 + 9 + 7 + 57 + 0 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (4493975709607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1638079 + ... + 3416321.

It is an arithmetic number, because the mean of its divisors is an integer number (40967481646).

Almost surely, 2^{4493975709600} is an apocalyptic number.

4493975709600 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 4493975709600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8848976035536).

4493975709600 is an abundant number, since it is smaller than the sum of its proper divisors (13203976361472).

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

4493975709600 is a wasteful number, since it uses less digits than its factorization.

4493975709600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778291 (or 1778266 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 4493975709600 in words is "four trillion, four hundred ninety-three billion, nine hundred seventy-five million, seven hundred nine thousand, six hundred".