4801282416 has 240 divisors, whose sum is σ = 15803274240. Its totient is φ = 1332495360.

The previous prime is 4801282411. The next prime is 4801282439. The reversal of 4801282416 is 6142821084.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4801282411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5224005 + ... + 5224923.

It is an arithmetic number, because the mean of its divisors is an integer number (65846976).

Almost surely, 2^4801282416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4801282416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7901637120).

4801282416 is an abundant number, since it is smaller than the sum of its proper divisors (11001991824).

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

4801282416 is a wasteful number, since it uses less digits than its factorization.

4801282416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4801282416 is about 69291.2867249555. The cubic root of 4801282416 is about 1687.0155438303.

The spelling of 4801282416 in words is "four billion, eight hundred one million, two hundred eighty-two thousand, four hundred sixteen".