321534012400 has 120 divisors (see below), whose sum is σ = 789331265280. Its totient is φ = 125811751680.

The previous prime is 321534012377. The next prime is 321534012403. The reversal of 321534012400 is 4210435123.

It is a super-2 number, since 2×321534012400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321534012403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 52994167 + ... + 53000233.

It is an arithmetic number, because the mean of its divisors is an integer number (6577760544).

Almost surely, 2^321534012400 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 321534012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394665632640).

321534012400 is an abundant number, since it is smaller than the sum of its proper divisors (467797252880).

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

321534012400 is a wasteful number, since it uses less digits than its factorization.

321534012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8951 (or 8940 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 321534012400 its reverse (4210435123), we get a palindrome (325744447523).

The spelling of 321534012400 in words is "three hundred twenty-one billion, five hundred thirty-four million, twelve thousand, four hundred".