320424421024400 has 480 divisors, whose sum is σ = 969521297522688. Its totient is φ = 98861943398400.

The previous prime is 320424421024363. The next prime is 320424421024427. The reversal of 320424421024400 is 4420124424023.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1732746344 + ... + 1732931256.

Almost surely, 2^{320424421024400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320424421024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484760648761344).

320424421024400 is an abundant number, since it is smaller than the sum of its proper divisors (649096876498288).

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

320424421024400 is a wasteful number, since it uses less digits than its factorization.

320424421024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185519 (or 185508 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 320424421024400 its reverse (4420124424023), we get a palindrome (324844545448423).

The spelling of 320424421024400 in words is "three hundred twenty trillion, four hundred twenty-four billion, four hundred twenty-one million, twenty-four thousand, four hundred".