399676840000 has 315 divisors, whose sum is σ = 1035924997107. Its totient is φ = 152941824000.

The previous prime is 399676839917. The next prime is 399676840007. The reversal of 399676840000 is 48676993.

The square root of 399676840000 is 632200.

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

It can be written as a sum of positive squares in 22 ways, for example, as 398383142976 + 1293697024 = 631176^2 + 35968^2 .

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 399676840000.

It is not an unprimeable number, because it can be changed into a prime (399676840007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3666759946 + ... + 3666760054.

Almost surely, 2^399676840000 is an apocalyptic number.

399676840000 is the 632200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399676840000

399676840000 is an abundant number, since it is smaller than the sum of its proper divisors (636248157107).

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

399676840000 is an frugal number, since it uses more digits than its factorization.

399676840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The spelling of 399676840000 in words is "three hundred ninety-nine billion, six hundred seventy-six million, eight hundred forty thousand".