4087385326080 has 960 divisors, whose sum is σ = 16363464099840. Its totient is φ = 923621916672.

The previous prime is 4087385326027. The next prime is 4087385326169. The reversal of 4087385326080 is 806235837804.

4087385326080 is a `hidden beast` number, since 40 + 8 + 7 + 3 + 8 + 532 + 60 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8533163281 + ... + 8533163759.

It is an arithmetic number, because the mean of its divisors is an integer number (17045275104).

Almost surely, 2^{4087385326080} is an apocalyptic number.

4087385326080 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 4087385326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8181732049920).

4087385326080 is an abundant number, since it is smaller than the sum of its proper divisors (12276078773760).

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

4087385326080 is a wasteful number, since it uses less digits than its factorization.

4087385326080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 4087385326080 in words is "four trillion, eighty-seven billion, three hundred eighty-five million, three hundred twenty-six thousand, eighty".