399994848000 has 720 divisors, whose sum is σ = 1623939276960. Its totient is φ = 96961536000.

The previous prime is 399994847983. The next prime is 399994848017. The reversal of 399994848000 is 848499993.

399994848000 is a `hidden beast` number, since 399 + 9 + 94 + 84 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (399994847983) and next prime (399994848017).

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28504986 + ... + 28519014.

It is an arithmetic number, because the mean of its divisors is an integer number (2255471218).

Almost surely, 2^399994848000 is an apocalyptic number.

399994848000 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 399994848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811969638480).

399994848000 is an abundant number, since it is smaller than the sum of its proper divisors (1223944428960).

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

399994848000 is a wasteful number, since it uses less digits than its factorization.

399994848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14083 (or 14050 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 399994848000 in words is "three hundred ninety-nine billion, nine hundred ninety-four million, eight hundred forty-eight thousand".