386661129120 has 384 divisors, whose sum is σ = 1613892833280. Its totient is φ = 84536939520.

The previous prime is 386661129077. The next prime is 386661129121. The reversal of 386661129120 is 21921166683.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (386661129121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 417555 + ... + 973485.

It is an arithmetic number, because the mean of its divisors is an integer number (4202845920).

Almost surely, 2^386661129120 is an apocalyptic number.

386661129120 is a gapful number since it is divisible by the number (30) 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 386661129120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806946416640).

386661129120 is an abundant number, since it is smaller than the sum of its proper divisors (1227231704160).

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

386661129120 is a wasteful number, since it uses less digits than its factorization.

386661129120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555985 (or 555971 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 386661129120 in words is "three hundred eighty-six billion, six hundred sixty-one million, one hundred twenty-nine thousand, one hundred twenty".