320973373440 has 816 divisors, whose sum is σ = 1202288068800. Its totient is φ = 82046877696.

The previous prime is 320973373433. The next prime is 320973373447. The reversal of 320973373440 is 44373379023.

320973373440 is a `hidden beast` number, since 3 + 20 + 97 + 33 + 73 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (320973373433) and next prime (320973373447).

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

It is not an unprimeable number, because it can be changed into a prime (320973373447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2309160891 + ... + 2309161029.

Almost surely, 2^320973373440 is an apocalyptic number.

320973373440 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 320973373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601144034400).

320973373440 is an abundant number, since it is smaller than the sum of its proper divisors (881314695360).

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

320973373440 is an frugal number, since it uses more digits than its factorization.

320973373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 45.

The spelling of 320973373440 in words is "three hundred twenty billion, nine hundred seventy-three million, three hundred seventy-three thousand, four hundred forty".