320415005030340 has 384 divisors, whose sum is σ = 1015878836109312. Its totient is φ = 74776302766080.

The previous prime is 320415005030311. The next prime is 320415005030347. The reversal of 320415005030340 is 43030500514023.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 320415005030298 and 320415005030307.

It is not an unprimeable number, because it can be changed into a prime (320415005030347) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 887462094 + ... + 887823066.

It is an arithmetic number, because the mean of its divisors is an integer number (2645517802368).

Almost surely, 2^{320415005030340} is an apocalyptic number.

320415005030340 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 320415005030340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507939418054656).

320415005030340 is an abundant number, since it is smaller than the sum of its proper divisors (695463831078972).

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

320415005030340 is a wasteful number, since it uses less digits than its factorization.

320415005030340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361419 (or 361417 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 320415005030340 its reverse (43030500514023), we get a palindrome (363445505544363).

The spelling of 320415005030340 in words is "three hundred twenty trillion, four hundred fifteen billion, five million, thirty thousand, three hundred forty".