4395980880 has 120 divisors (see below), whose sum is σ = 14775189000. Its totient is φ = 1171307520.

The previous prime is 4395980861. The next prime is 4395980881. The reversal of 4395980880 is 880895934.

It is a happy number.

4395980880 is a `hidden beast` number, since 43 + 9 + 598 + 0 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 167340096 + 4228640784 = 12936^2 + 65028^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4395980881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1597746 + ... + 1600494.

It is an arithmetic number, because the mean of its divisors is an integer number (123126575).

Almost surely, 2^4395980880 is an apocalyptic number.

4395980880 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 4395980880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7387594500).

4395980880 is an abundant number, since it is smaller than the sum of its proper divisors (10379208120).

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

4395980880 is a wasteful number, since it uses less digits than its factorization.

4395980880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4989 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 4395980880 is about 66302.1936288687. The cubic root of 4395980880 is about 1638.1434573153.

The spelling of 4395980880 in words is "four billion, three hundred ninety-five million, nine hundred eighty thousand, eight hundred eighty".