4087395872640 has 960 divisors, whose sum is σ = 15824562874560. Its totient is φ = 1004526821376.

The previous prime is 4087395872597. The next prime is 4087395872669. The reversal of 4087395872640 is 462785937804.

4087395872640 is a `hidden beast` number, since 4 + 0 + 8 + 7 + 3 + 9 + 587 + 2 + 6 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 692423929 + ... + 692429831.

It is an arithmetic number, because the mean of its divisors is an integer number (16483919661).

Almost surely, 2^{4087395872640} is an apocalyptic number.

4087395872640 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 4087395872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7912281437280).

4087395872640 is an abundant number, since it is smaller than the sum of its proper divisors (11737167001920).

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

4087395872640 is a wasteful number, since it uses less digits than its factorization.

4087395872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6009 (or 5969 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 4087395872640 in words is "four trillion, eighty-seven billion, three hundred ninety-five million, eight hundred seventy-two thousand, six hundred forty".