4494509712000 has 2304 divisors, whose sum is σ = 20770659187200. Its totient is φ = 920844288000.

The previous prime is 4494509711953. The next prime is 4494509712001. The reversal of 4494509712000 is 2179054944.

4494509712000 is a `hidden beast` number, since 4 + 494 + 50 + 97 + 1 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4494509712001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6131663634 + ... + 6131664366.

It is an arithmetic number, because the mean of its divisors is an integer number (9015043050).

Almost surely, 2^{4494509712000} is an apocalyptic number.

4494509712000 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 4494509712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10385329593600).

4494509712000 is an abundant number, since it is smaller than the sum of its proper divisors (16276149475200).

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

4494509712000 is a wasteful number, since it uses less digits than its factorization.

4494509712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 4494509712000 in words is "four trillion, four hundred ninety-four billion, five hundred nine million, seven hundred twelve thousand".