386421642000 has 120 divisors (see below), whose sum is σ = 1349642051160. Its totient is φ = 103045766400.

The previous prime is 386421641971. The next prime is 386421642001. The reversal of 386421642000 is 246124683.

386421642000 is a `hidden beast` number, since 3 + 8 + 6 + 4 + 2 + 1 + 642 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13359661056 + 373061980944 = 115584^2 + 610788^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (386421642001) 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 23 ways as a sum of consecutive naturals, for example, 10715935 + ... + 10751934.

It is an arithmetic number, because the mean of its divisors is an integer number (11247017093).

Almost surely, 2^386421642000 is an apocalyptic number.

386421642000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

386421642000 is an abundant number, since it is smaller than the sum of its proper divisors (963220409160).

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

386421642000 is a wasteful number, since it uses less digits than its factorization.

386421642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21467898 (or 21467879 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 386421642000 its reverse (246124683), we get a palindrome (386667766683).

The spelling of 386421642000 in words is "three hundred eighty-six billion, four hundred twenty-one million, six hundred forty-two thousand".