319232538240 has 1152 divisors, whose sum is σ = 1347331708800. Its totient is φ = 63980421120.

The previous prime is 319232538227. The next prime is 319232538277. The reversal of 319232538240 is 42835232913.

It is a happy number.

319232538240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 319232538192 and 319232538201.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 330126237 + ... + 330127203.

It is an arithmetic number, because the mean of its divisors is an integer number (1169558775).

Almost surely, 2^319232538240 is an apocalyptic number.

319232538240 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 319232538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673665854400).

319232538240 is an abundant number, since it is smaller than the sum of its proper divisors (1028099170560).

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

319232538240 is a wasteful number, since it uses less digits than its factorization.

319232538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 319232538240 in words is "three hundred nineteen billion, two hundred thirty-two million, five hundred thirty-eight thousand, two hundred forty".