4087309440000 has 440 divisors, whose sum is σ = 13734555785280. Its totient is φ = 1080246272000.

The previous prime is 4087309439957. The next prime is 4087309440029. The reversal of 4087309440000 is 449037804.

It is a super-2 number, since 2×4087309440000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 216950581 + ... + 216969419.

It is an arithmetic number, because the mean of its divisors is an integer number (31214899512).

Almost surely, 2^{4087309440000} is an apocalyptic number.

4087309440000 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 4087309440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6867277892640).

4087309440000 is an abundant number, since it is smaller than the sum of its proper divisors (9647246345280).

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

4087309440000 is a wasteful number, since it uses less digits than its factorization.

4087309440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18995 (or 18962 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 4087309440000 in words is "four trillion, eighty-seven billion, three hundred nine million, four hundred forty thousand".