321352223400 has 480 divisors, whose sum is σ = 1254235973760. Its totient is φ = 75661724160.

The previous prime is 321352223299. The next prime is 321352223407. The reversal of 321352223400 is 4322253123.

321352223400 is a `hidden beast` number, since 3 + 2 + 1 + 35 + 2 + 223 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (321352223407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4810629 + ... + 4876971.

It is an arithmetic number, because the mean of its divisors is an integer number (2612991612).

Almost surely, 2^321352223400 is an apocalyptic number.

321352223400 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 321352223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627117986880).

321352223400 is an abundant number, since it is smaller than the sum of its proper divisors (932883750360).

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

321352223400 is a wasteful number, since it uses less digits than its factorization.

321352223400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66407 (or 66389 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 321352223400 its reverse (4322253123), we get a palindrome (325674476523).

The spelling of 321352223400 in words is "three hundred twenty-one billion, three hundred fifty-two million, two hundred twenty-three thousand, four hundred".