4788686400120 has 512 divisors, whose sum is σ = 19118073600000. Its totient is φ = 1064971224576.

The previous prime is 4788686400067. The next prime is 4788686400149. The reversal of 4788686400120 is 210046868874.

4788686400120 is a `hidden beast` number, since 4 + 78 + 86 + 86 + 400 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13531591 + ... + 13880969.

It is an arithmetic number, because the mean of its divisors is an integer number (37339987500).

Almost surely, 2^{4788686400120} is an apocalyptic number.

4788686400120 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 4788686400120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9559036800000).

4788686400120 is an abundant number, since it is smaller than the sum of its proper divisors (14329387199880).

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

4788686400120 is a wasteful number, since it uses less digits than its factorization.

4788686400120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349457 (or 349433 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 4788686400120 in words is "four trillion, seven hundred eighty-eight billion, six hundred eighty-six million, four hundred thousand, one hundred twenty".