4491214560 has 480 divisors, whose sum is σ = 18380386080. Its totient is φ = 1024192512.

The previous prime is 4491214529. The next prime is 4491214583. The reversal of 4491214560 is 654121944.

4491214560 is a `hidden beast` number, since 4 + 4 + 91 + 2 + 1 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 10372104 + ... + 10372536.

It is an arithmetic number, because the mean of its divisors is an integer number (38292471).

Almost surely, 2^4491214560 is an apocalyptic number.

4491214560 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 4491214560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9190193040).

4491214560 is an abundant number, since it is smaller than the sum of its proper divisors (13889171520).

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

4491214560 is an equidigital number, since it uses as much as digits as its factorization.

4491214560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4491214560 is about 67016.5245294024. The cubic root of 4491214560 is about 1649.8885213940. Note that the first 3 decimals are identical.

The spelling of 4491214560 in words is "four billion, four hundred ninety-one million, two hundred fourteen thousand, five hundred sixty".