320415010432 has 128 divisors (see below), whose sum is σ = 712042905600. Its totient is φ = 142398397440.

The previous prime is 320415010403. The next prime is 320415010457. The reversal of 320415010432 is 234010514023.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 320415010397 and 320415010406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11442913 + ... + 11470879.

It is an arithmetic number, because the mean of its divisors is an integer number (5562835200).

Almost surely, 2^320415010432 is an apocalyptic number.

320415010432 is a gapful number since it is divisible by the number (32) 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 320415010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356021452800).

320415010432 is an abundant number, since it is smaller than the sum of its proper divisors (391627895168).

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

320415010432 is a wasteful number, since it uses less digits than its factorization.

320415010432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28174 (or 28162 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 320415010432 its reverse (234010514023), we get a palindrome (554425524455).

The spelling of 320415010432 in words is "three hundred twenty billion, four hundred fifteen million, ten thousand, four hundred thirty-two".