4808845440 has 192 divisors, whose sum is σ = 18977924160. Its totient is φ = 1099155456.

The previous prime is 4808845429. The next prime is 4808845441. The reversal of 4808845440 is 445488084.

4808845440 is a `hidden beast` number, since 4 + 80 + 88 + 454 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×4808845440³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4808845441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19314 + ... + 99953.

It is an arithmetic number, because the mean of its divisors is an integer number (98843355).

Almost surely, 2^4808845440 is an apocalyptic number.

4808845440 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 4808845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9488962080).

4808845440 is an abundant number, since it is smaller than the sum of its proper divisors (14169078720).

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

4808845440 is a wasteful number, since it uses less digits than its factorization.

4808845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119299 (or 119284 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The square root of 4808845440 is about 69345.8393849263. The cubic root of 4808845440 is about 1687.9008799041.

It can be divided in two parts, 48088 and 45440, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 4808845440 in words is "four billion, eight hundred eight million, eight hundred forty-five thousand, four hundred forty".