4416486904800 has 1728 divisors, whose sum is σ = 17412873004800. Its totient is φ = 1049230540800.

The previous prime is 4416486904777. The next prime is 4416486904811. The reversal of 4416486904800 is 84096846144.

4416486904800 is a `hidden beast` number, since 4 + 41 + 64 + 8 + 69 + 0 + 480 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24673111111 + ... + 24673111289.

It is an arithmetic number, because the mean of its divisors is an integer number (10076894100).

Almost surely, 2^{4416486904800} is an apocalyptic number.

4416486904800 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 4416486904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8706436502400).

4416486904800 is an abundant number, since it is smaller than the sum of its proper divisors (12996386100000).

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

4416486904800 is a wasteful number, since it uses less digits than its factorization.

4416486904800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 4416486904800 in words is "four trillion, four hundred sixteen billion, four hundred eighty-six million, nine hundred four thousand, eight hundred".