387420489000000 has 931 divisors, whose sum is σ = 1441458171970321. Its totient is φ = 103312130400000.

The previous prime is 387420488999981. The next prime is 387420489000007. The reversal of 387420489000000 is 984024783.

The square root of 387420489000000 is 19683000.

The cubic root of 387420489000000 is 72900.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 339417540730944 + 48002948269056 = 18423288^2 + 6928416^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 387420489000000.

It is not an unprimeable number, because it can be changed into a prime (387420489000007) 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 132 ways as a sum of consecutive naturals, for example, 77484097799998 + ... + 77484097800002.

Almost surely, 2^{387420489000000} is an apocalyptic number.

387420489000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

387420489000000 is the 19683000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387420489000000

387420489000000 is an abundant number, since it is smaller than the sum of its proper divisors (1054037682970321).

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

387420489000000 is an frugal number, since it uses more digits than its factorization.

387420489000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 387420489000000 in words is "three hundred eighty-seven trillion, four hundred twenty billion, four hundred eighty-nine million", and thus it is an aban number.