4805440416 has 288 divisors, whose sum is σ = 16743138048. Its totient is φ = 1277337600.

The previous prime is 4805440399. The next prime is 4805440421. The reversal of 4805440416 is 6140445084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1714216 + ... + 1717016.

It is an arithmetic number, because the mean of its divisors is an integer number (58135896).

Almost surely, 2^4805440416 is an apocalyptic number.

4805440416 is a gapful number since it is divisible by the number (46) 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 4805440416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8371569024).

4805440416 is an abundant number, since it is smaller than the sum of its proper divisors (11937697632).

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

4805440416 is a wasteful number, since it uses less digits than its factorization.

4805440416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4805440416 is about 69321.2840042652. The cubic root of 4805440416 is about 1687.5023989431.

The spelling of 4805440416 in words is "four billion, eight hundred five million, four hundred forty thousand, four hundred sixteen".