319411453680 has 1200 divisors, whose sum is σ = 1334484087552. Its totient is φ = 70436044800.

The previous prime is 319411453591. The next prime is 319411453693. The reversal of 319411453680 is 86354114913.

319411453680 is a `hidden beast` number, since 3 + 194 + 1 + 1 + 453 + 6 + 8 + 0 = 666.

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 413209774 + ... + 413210546.

Almost surely, 2^319411453680 is an apocalyptic number.

319411453680 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 319411453680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667242043776).

319411453680 is an abundant number, since it is smaller than the sum of its proper divisors (1015072633872).

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

319411453680 is a wasteful number, since it uses less digits than its factorization.

319411453680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 319411453680 in words is "three hundred nineteen billion, four hundred eleven million, four hundred fifty-three thousand, six hundred eighty".