319989994871040 has 720 divisors, whose sum is σ = 1233493132132800. Its totient is φ = 78738992676864.

The previous prime is 319989994871021. The next prime is 319989994871117. The reversal of 319989994871040 is 40178499989913.

319989994871040 is a `hidden beast` number, since 3 + 1 + 9 + 9 + 8 + 9 + 99 + 487 + 1 + 0 + 40 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3961261371 + ... + 3961342149.

It is an arithmetic number, because the mean of its divisors is an integer number (1713184905740).

Almost surely, 2^{319989994871040} is an apocalyptic number.

319989994871040 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 319989994871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616746566066400).

319989994871040 is an abundant number, since it is smaller than the sum of its proper divisors (913503137261760).

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

319989994871040 is a wasteful number, since it uses less digits than its factorization.

319989994871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83764 (or 83741 counting only the distinct ones).

The product of its (nonzero) digits is 1269789696, while the sum is 81.

The spelling of 319989994871040 in words is "three hundred nineteen trillion, nine hundred eighty-nine billion, nine hundred ninety-four million, eight hundred seventy-one thousand, forty".