4845709440 has 1024 divisors, whose sum is σ = 21097843200. Its totient is φ = 1035141120.

The previous prime is 4845709439. The next prime is 4845709457. The reversal of 4845709440 is 449075484.

It is a super-3 number, since 3×4845709440³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 91428454 + ... + 91428506.

Almost surely, 2^4845709440 is an apocalyptic number.

4845709440 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 4845709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10548921600).

4845709440 is an abundant number, since it is smaller than the sum of its proper divisors (16252133760).

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

4845709440 is a wasteful number, since it uses less digits than its factorization.

4845709440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4845709440 is about 69611.1301445394. The cubic root of 4845709440 is about 1692.2029835448.

The spelling of 4845709440 in words is "four billion, eight hundred forty-five million, seven hundred nine thousand, four hundred forty".