399424000000 has 273 divisors, whose sum is σ = 1011223599141. Its totient is φ = 157747200000.

The previous prime is 399423999943. The next prime is 399424000009. The reversal of 399424000000 is 424993.

The square root of 399424000000 is 632000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 349933768704 + 49490231296 = 591552^2 + 222464^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (399424000009) 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 20 ways as a sum of consecutive naturals, for example, 5055999961 + ... + 5056000039.

Almost surely, 2^399424000000 is an apocalyptic number.

399424000000 is the 632000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399424000000

399424000000 is an abundant number, since it is smaller than the sum of its proper divisors (611799599141).

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

399424000000 is an frugal number, since it uses more digits than its factorization.

399424000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

Adding to 399424000000 its reverse (424993), we get a palindrome (399424424993).

The spelling of 399424000000 in words is "three hundred ninety-nine billion, four hundred twenty-four million", and thus it is an aban number.