320937123442320 has 1920 divisors, whose sum is σ = 1421550776355840. Its totient is φ = 62941065707520.

The previous prime is 320937123442297. The next prime is 320937123442459. The reversal of 320937123442320 is 23244321739023.

320937123442320 is a `hidden beast` number, since 3 + 2 + 0 + 9 + 3 + 71 + 2 + 344 + 232 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23603517762 + ... + 23603531358.

It is an arithmetic number, because the mean of its divisors is an integer number (740391029352).

Almost surely, 2^{320937123442320} is an apocalyptic number.

320937123442320 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 320937123442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710775388177920).

320937123442320 is an abundant number, since it is smaller than the sum of its proper divisors (1100613652913520).

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

320937123442320 is a wasteful number, since it uses less digits than its factorization.

320937123442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13993 (or 13984 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 320937123442320 in words is "three hundred twenty trillion, nine hundred thirty-seven billion, one hundred twenty-three million, four hundred forty-two thousand, three hundred twenty".