319413805920 has 480 divisors, whose sum is σ = 1239973279776. Its totient is φ = 77429468160.

The previous prime is 319413805903. The next prime is 319413805951. The reversal of 319413805920 is 29508314913.

It is a happy number.

319413805920 is a `hidden beast` number, since 3 + 19 + 41 + 3 + 8 + 0 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 17240502 + ... + 17259018.

Almost surely, 2^319413805920 is an apocalyptic number.

319413805920 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 319413805920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619986639888).

319413805920 is an abundant number, since it is smaller than the sum of its proper divisors (920559473856).

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

319413805920 is a wasteful number, since it uses less digits than its factorization.

319413805920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18577 (or 18538 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 319413805920 in words is "three hundred nineteen billion, four hundred thirteen million, eight hundred five thousand, nine hundred twenty".