4845419040 has 384 divisors, whose sum is σ = 19647774720. Its totient is φ = 974131200.

The previous prime is 4845419023. The next prime is 4845419041. The reversal of 4845419040 is 409145484.

It is a self number, because there is not a number n which added to its sum of digits gives 4845419040.

It is not an unprimeable number, because it can be changed into a prime (4845419041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1143646 + ... + 1147874.

It is an arithmetic number, because the mean of its divisors is an integer number (51166080).

Almost surely, 2^4845419040 is an apocalyptic number.

4845419040 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 4845419040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9823887360).

4845419040 is an abundant number, since it is smaller than the sum of its proper divisors (14802355680).

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

4845419040 is a wasteful number, since it uses less digits than its factorization.

4845419040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4288 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 4845419040 is about 69609.0442399549. The cubic root of 4845419040 is about 1692.1691786864.

The spelling of 4845419040 in words is "four billion, eight hundred forty-five million, four hundred nineteen thousand, forty".