4401895680 has 1296 divisors, whose sum is σ = 21006760320. Its totient is φ = 828112896.

The previous prime is 4401895679. The next prime is 4401895691. The reversal of 4401895680 is 865981044.

4401895680 is a `hidden beast` number, since 4 + 4 + 0 + 1 + 89 + 568 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 231678711 + ... + 231678729.

It is an arithmetic number, because the mean of its divisors is an integer number (16208920).

Almost surely, 2^4401895680 is an apocalyptic number.

4401895680 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 4401895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10503380160).

4401895680 is an abundant number, since it is smaller than the sum of its proper divisors (16604864640).

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

4401895680 is a wasteful number, since it uses less digits than its factorization.

4401895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 4401895680 is about 66346.7834940022. The cubic root of 4401895680 is about 1638.8778363445.

The spelling of 4401895680 in words is "four billion, four hundred one million, eight hundred ninety-five thousand, six hundred eighty".