4087309142880 has 288 divisors, whose sum is σ = 13993410439008. Its totient is φ = 1086400512000.

The previous prime is 4087309142869. The next prime is 4087309142881. The reversal of 4087309142880 is 882419037804.

It is a happy number.

4087309142880 is a `hidden beast` number, since 40 + 8 + 7 + 309 + 14 + 288 + 0 = 666.

4087309142880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4087309142881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1282492647 + ... + 1282495833.

It is an arithmetic number, because the mean of its divisors is an integer number (48588230691).

Almost surely, 2^{4087309142880} is an apocalyptic number.

4087309142880 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 4087309142880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6996705219504).

4087309142880 is an abundant number, since it is smaller than the sum of its proper divisors (9906101296128).

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

4087309142880 is a wasteful number, since it uses less digits than its factorization.

4087309142880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 4087309142880 in words is "four trillion, eighty-seven billion, three hundred nine million, one hundred forty-two thousand, eight hundred eighty".