8387684441400 has 96 divisors (see below), whose sum is σ = 28365623769600. Its totient is φ = 2033378044800.

The previous prime is 8387684441347. The next prime is 8387684441447. The reversal of 8387684441400 is 41444867838.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 635424040 + ... + 635437239.

It is an arithmetic number, because the mean of its divisors is an integer number (295475247600).

Almost surely, 2^{8387684441400} is an apocalyptic number.

It is an amenable number.

8387684441400 is an abundant number, since it is smaller than the sum of its proper divisors (19977939328200).

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

8387684441400 is a wasteful number, since it uses less digits than its factorization.

8387684441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270861309 (or 1270861300 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 57.

The spelling of 8387684441400 in words is "eight trillion, three hundred eighty-seven billion, six hundred eighty-four million, four hundred forty-one thousand, four hundred".