4491259200000 has 720 divisors, whose sum is σ = 16470380718792. Its totient is φ = 1177804800000.

The previous prime is 4491259199941. The next prime is 4491259200083. The reversal of 4491259200000 is 29521944.

4491259200000 is a `hidden beast` number, since 449 + 1 + 2 + 5 + 9 + 200 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4350328033536 + 140931166464 = 2085744^2 + 375408^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 878397444 + ... + 878402556.

Almost surely, 2^{4491259200000} is an apocalyptic number.

4491259200000 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 4491259200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8235190359396).

4491259200000 is an abundant number, since it is smaller than the sum of its proper divisors (11979121518792).

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

4491259200000 is an frugal number, since it uses more digits than its factorization.

4491259200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5223 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 4491259200000 in words is "four trillion, four hundred ninety-one billion, two hundred fifty-nine million, two hundred thousand".