399548712960 has 960 divisors, whose sum is σ = 1518355238400. Its totient is φ = 100329062400.

The previous prime is 399548712949. The next prime is 399548713013. The reversal of 399548712960 is 69217845993.

399548712960 is a `hidden beast` number, since 3 + 9 + 9 + 548 + 7 + 1 + 29 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1054218051 + ... + 1054218429.

It is an arithmetic number, because the mean of its divisors is an integer number (1581620040).

It is a 1-persistent number, because it is pandigital, but 2⋅399548712960 = 799097425920 is not.

Almost surely, 2^399548712960 is an apocalyptic number.

399548712960 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 399548712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759177619200).

399548712960 is an abundant number, since it is smaller than the sum of its proper divisors (1118806525440).

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

399548712960 is a wasteful number, since it uses less digits than its factorization.

399548712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 399548712960 in words is "three hundred ninety-nine billion, five hundred forty-eight million, seven hundred twelve thousand, nine hundred sixty".