4087714168000 has 112 divisors (see below), whose sum is σ = 10179782028000. Its totient is φ = 1625950540800.

The previous prime is 4087714167967. The next prime is 4087714168003. The reversal of 4087714168000 is 8614177804.

It is not an unprimeable number, because it can be changed into a prime (4087714168003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4726 + ... + 2859274.

Almost surely, 2^{4087714168000} is an apocalyptic number.

4087714168000 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 4087714168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089891014000).

4087714168000 is an abundant number, since it is smaller than the sum of its proper divisors (6092067860000).

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

4087714168000 is a wasteful number, since it uses less digits than its factorization.

4087714168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854755 (or 2854735 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 46.

The spelling of 4087714168000 in words is "four trillion, eighty-seven billion, seven hundred fourteen million, one hundred sixty-eight thousand".