4087585803840 has 1792 divisors, whose sum is σ = 17061864800256. Its totient is φ = 804800102400.

The previous prime is 4087585803827. The next prime is 4087585803863. The reversal of 4087585803840 is 483085857804.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18006985807 + ... + 18006986033.

Almost surely, 2^{4087585803840} is an apocalyptic number.

4087585803840 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 4087585803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530932400128).

4087585803840 is an abundant number, since it is smaller than the sum of its proper divisors (12974278996416).

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

4087585803840 is a wasteful number, since it uses less digits than its factorization.

4087585803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 60.

The spelling of 4087585803840 in words is "four trillion, eighty-seven billion, five hundred eighty-five million, eight hundred three thousand, eight hundred forty".