4089891960 has 768 divisors, whose sum is σ = 18202060800. Its totient is φ = 796815360.

The previous prime is 4089891959. The next prime is 4089891989. The reversal of 4089891960 is 691989804.

4089891960 is a `hidden beast` number, since 408 + 98 + 91 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4089891897 and 4089891906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15550789 + ... + 15551051.

It is an arithmetic number, because the mean of its divisors is an integer number (23700600).

Almost surely, 2^4089891960 is an apocalyptic number.

4089891960 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 4089891960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9101030400).

4089891960 is an abundant number, since it is smaller than the sum of its proper divisors (14112168840).

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

4089891960 is a wasteful number, since it uses less digits than its factorization.

4089891960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 4089891960 is about 63952.2631343098. The cubic root of 4089891960 is about 1599.2042866324.

The spelling of 4089891960 in words is "four billion, eighty-nine million, eight hundred ninety-one thousand, nine hundred sixty".