4388686120000 has 2240 divisors, whose sum is σ = 15357004185600. Its totient is φ = 1204346880000.

The previous prime is 4388686119959. The next prime is 4388686120043. The reversal of 4388686120000 is 216868834.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 49311079956 + ... + 49311080044.

It is an arithmetic number, because the mean of its divisors is an integer number (6855805440).

Almost surely, 2^{4388686120000} is an apocalyptic number.

4388686120000 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 4388686120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7678502092800).

4388686120000 is an abundant number, since it is smaller than the sum of its proper divisors (10968318065600).

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

4388686120000 is a wasteful number, since it uses less digits than its factorization.

4388686120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 4388686120000 in words is "four trillion, three hundred eighty-eight billion, six hundred eighty-six million, one hundred twenty thousand".