319040114073408 has 1008 divisors, whose sum is σ = 1206270181247040. Its totient is φ = 79689144729600.

The previous prime is 319040114073371. The next prime is 319040114073479. The reversal of 319040114073408 is 804370411040913.

It is a happy number.

319040114073408 is a `hidden beast` number, since 3 + 1 + 90 + 40 + 11 + 40 + 73 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34375613728 + ... + 34375623008.

It is an arithmetic number, because the mean of its divisors is an integer number (1196696608380).

Almost surely, 2^{319040114073408} is an apocalyptic number.

319040114073408 is a gapful number since it is divisible by the number (38) 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 319040114073408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603135090623520).

319040114073408 is an abundant number, since it is smaller than the sum of its proper divisors (887230067173632).

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

319040114073408 is a wasteful number, since it uses less digits than its factorization.

319040114073408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14276 (or 14256 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 319040114073408 in words is "three hundred nineteen trillion, forty billion, one hundred fourteen million, seventy-three thousand, four hundred eight".