4414795920 has 320 divisors, whose sum is σ = 16186464000. Its totient is φ = 1102823424.

The previous prime is 4414795897. The next prime is 4414795921. The reversal of 4414795920 is 295974144.

4414795920 is a `hidden beast` number, since 44 + 14 + 7 + 9 + 592 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4414795921) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3980326 + ... + 3981434.

It is an arithmetic number, because the mean of its divisors is an integer number (50582700).

Almost surely, 2^4414795920 is an apocalyptic number.

4414795920 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 4414795920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8093232000).

4414795920 is an abundant number, since it is smaller than the sum of its proper divisors (11771668080).

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

4414795920 is a wasteful number, since it uses less digits than its factorization.

4414795920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4414795920 is about 66443.9306483293. The cubic root of 4414795920 is about 1640.4772455998.

The spelling of 4414795920 in words is "four billion, four hundred fourteen million, seven hundred ninety-five thousand, nine hundred twenty".