4089889451808 has 480 divisors, whose sum is σ = 12597064824960. Its totient is φ = 1300097433600.

The previous prime is 4089889451797. The next prime is 4089889451867. The reversal of 4089889451808 is 8081549889804.

4089889451808 is a `hidden beast` number, since 4 + 0 + 8 + 98 + 8 + 9 + 451 + 80 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 79 ways as a sum of consecutive naturals, for example, 2190620091 + ... + 2190621957.

It is an arithmetic number, because the mean of its divisors is an integer number (26243885052).

Almost surely, 2^{4089889451808} is an apocalyptic number.

4089889451808 is a gapful number since it is divisible by the number (48) 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 4089889451808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6298532412480).

4089889451808 is an abundant number, since it is smaller than the sum of its proper divisors (8507175373152).

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

4089889451808 is a wasteful number, since it uses less digits than its factorization.

4089889451808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 212336640, while the sum is 72.

The spelling of 4089889451808 in words is "four trillion, eighty-nine billion, eight hundred eighty-nine million, four hundred fifty-one thousand, eight hundred eight".