320020004132400 has 960 divisors, whose sum is σ = 1227044653115904. Its totient is φ = 70275932160000.

The previous prime is 320020004132377. The next prime is 320020004132471. The reversal of 320020004132400 is 4231400020023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1958389099 + ... + 1958552501.

Almost surely, 2^{320020004132400} is an apocalyptic number.

320020004132400 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 320020004132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613522326557952).

320020004132400 is an abundant number, since it is smaller than the sum of its proper divisors (907024648983504).

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

320020004132400 is a wasteful number, since it uses less digits than its factorization.

320020004132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163662 (or 163651 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 320020004132400 its reverse (4231400020023), we get a palindrome (324251404152423).

The spelling of 320020004132400 in words is "three hundred twenty trillion, twenty billion, four million, one hundred thirty-two thousand, four hundred".