399984000000 has 616 divisors, whose sum is σ = 1437359414064. Its totient is φ = 98304000000.

The previous prime is 399983999981. The next prime is 399984000001. The reversal of 399984000000 is 489993.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399984000001) 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 55 ways as a sum of consecutive naturals, for example, 623999680 + ... + 624000320.

Almost surely, 2^399984000000 is an apocalyptic number.

399984000000 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 399984000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718679707032).

399984000000 is an abundant number, since it is smaller than the sum of its proper divisors (1037375414064).

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

399984000000 is an frugal number, since it uses more digits than its factorization.

399984000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

Adding to 399984000000 its reverse (489993), we get a palindrome (399984489993).

It can be divided in two parts, 39 and 9984000000, that multiplied together give a square (389376000000 = 624000²).

The spelling of 399984000000 in words is "three hundred ninety-nine billion, nine hundred eighty-four million", and thus it is an aban number.