320895949440000 has 2640 divisors, whose sum is σ = 1284504646537728. Its totient is φ = 70828032000000.

The previous prime is 320895949439939. The next prime is 320895949440007. The reversal of 320895949440000 is 44949598023.

It is a tau number, because it is divible by the number of its divisors (2640).

It is not an unprimeable number, because it can be changed into a prime (320895949440007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 122432638690 + ... + 122432641310.

Almost surely, 2^{320895949440000} is an apocalyptic number.

320895949440000 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 320895949440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642252323268864).

320895949440000 is an abundant number, since it is smaller than the sum of its proper divisors (963608697097728).

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

320895949440000 is a wasteful number, since it uses less digits than its factorization.

320895949440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 320895949440000 in words is "three hundred twenty trillion, eight hundred ninety-five billion, nine hundred forty-nine million, four hundred forty thousand".