4189285920 has 96 divisors (see below), whose sum is σ = 13208203008. Its totient is φ = 1116131328.

The previous prime is 4189285909. The next prime is 4189285931. The reversal of 4189285920 is 295829814.

It is an interprime number because it is at equal distance from previous prime (4189285909) and next prime (4189285931).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4189285920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633672 + ... + 640248.

It is an arithmetic number, because the mean of its divisors is an integer number (137585448).

Almost surely, 2^4189285920 is an apocalyptic number.

4189285920 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 4189285920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604101504).

4189285920 is an abundant number, since it is smaller than the sum of its proper divisors (9018917088).

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

4189285920 is a wasteful number, since it uses less digits than its factorization.

4189285920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7922 (or 7914 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 4189285920 is about 64724.6932785316. The cubic root of 4189285920 is about 1612.0555409852.

The spelling of 4189285920 in words is "four billion, one hundred eighty-nine million, two hundred eighty-five thousand, nine hundred twenty".