399816000216 has 128 divisors (see below), whose sum is σ = 1184907398400. Its totient is φ = 124474821120.

The previous prime is 399816000197. The next prime is 399816000229. The reversal of 399816000216 is 612000618993.

It is a happy number.

399816000216 is a `hidden beast` number, since 39 + 9 + 8 + 1 + 600 + 0 + 2 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 65451 + ... + 896613.

It is an arithmetic number, because the mean of its divisors is an integer number (9257089050).

Almost surely, 2^399816000216 is an apocalyptic number.

399816000216 is a gapful number since it is divisible by the number (36) 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 399816000216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592453699200).

399816000216 is an abundant number, since it is smaller than the sum of its proper divisors (785091398184).

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

399816000216 is a wasteful number, since it uses less digits than its factorization.

399816000216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831326 (or 831316 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 399816000216 in words is "three hundred ninety-nine billion, eight hundred sixteen million, two hundred sixteen", and thus it is an aban number.