319216890240 has 768 divisors, whose sum is σ = 1230595891200. Its totient is φ = 75903713280.

The previous prime is 319216890131. The next prime is 319216890241. The reversal of 319216890240 is 42098612913.

319216890240 is a `hidden beast` number, since 319 + 2 + 1 + 6 + 8 + 90 + 240 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319216890241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125526409 + ... + 125528951.

It is an arithmetic number, because the mean of its divisors is an integer number (1602338400).

Almost surely, 2^319216890240 is an apocalyptic number.

319216890240 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 319216890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615297945600).

319216890240 is an abundant number, since it is smaller than the sum of its proper divisors (911379000960).

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

319216890240 is a wasteful number, since it uses less digits than its factorization.

319216890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

It can be divided in two parts, 31921 and 6890240, that added together give a square (6922161 = 2631²).

The spelling of 319216890240 in words is "three hundred nineteen billion, two hundred sixteen million, eight hundred ninety thousand, two hundred forty".