4388686120 has 512 divisors, whose sum is σ = 13934592000. Its totient is φ = 1204346880.

The previous prime is 4388686111. The next prime is 4388686121. The reversal of 4388686120 is 216868834.

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

It is not an unprimeable number, because it can be changed into a prime (4388686121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49311036 + ... + 49311124.

It is an arithmetic number, because the mean of its divisors is an integer number (27216000).

Almost surely, 2^4388686120 is an apocalyptic number.

4388686120 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 4388686120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967296000).

4388686120 is an abundant number, since it is smaller than the sum of its proper divisors (9545905880).

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

4388686120 is a wasteful number, since it uses less digits than its factorization.

4388686120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 189 counting only the distinct ones).

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

The square root of 4388686120 is about 66247.1593353255. The cubic root of 4388686120 is about 1637.2368352800.

The spelling of 4388686120 in words is "four billion, three hundred eighty-eight million, six hundred eighty-six thousand, one hundred twenty".