4491916800 has 480 divisors, whose sum is σ = 17974420992. Its totient is φ = 965345280.

The previous prime is 4491916747. The next prime is 4491916823. The reversal of 4491916800 is 86191944.

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 (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4569109 + ... + 4570091.

Almost surely, 2^4491916800 is an apocalyptic number.

4491916800 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 4491916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8987210496).

4491916800 is an abundant number, since it is smaller than the sum of its proper divisors (13482504192).

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

4491916800 is a wasteful number, since it uses less digits than its factorization.

4491916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 4491916800 is about 67021.7636294361. The cubic root of 4491916800 is about 1649.9745083298.

The spelling of 4491916800 in words is "four billion, four hundred ninety-one million, nine hundred sixteen thousand, eight hundred".