4845357440 has 128 divisors (see below), whose sum is σ = 14441829120. Its totient is φ = 1510225920.

The previous prime is 4845357437. The next prime is 4845357479. The reversal of 4845357440 is 447535484.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4845357391 and 4845357400.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 119 + ... + 98441.

It is an arithmetic number, because the mean of its divisors is an integer number (112826790).

Almost surely, 2^4845357440 is an apocalyptic number.

4845357440 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 4845357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7220914560).

4845357440 is an abundant number, since it is smaller than the sum of its proper divisors (9596471680).

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

4845357440 is a wasteful number, since it uses less digits than its factorization.

4845357440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98360 (or 98348 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 44.

The square root of 4845357440 is about 69608.6017673103. The cubic root of 4845357440 is about 1692.1620077853.

The spelling of 4845357440 in words is "four billion, eight hundred forty-five million, three hundred fifty-seven thousand, four hundred forty".