323210120000400 has 120 divisors (see below), whose sum is σ = 1150388612336160. Its totient is φ = 86189365330560.

The previous prime is 323210120000381. The next prime is 323210120000401. The reversal of 323210120000400 is 4000021012323.

323210120000400 is a `hidden beast` number, since 3 + 232 + 10 + 1 + 20 + 0 + 0 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (323210120000401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14963420682 + ... + 14963442281.

It is an arithmetic number, because the mean of its divisors is an integer number (9586571769468).

Almost surely, 2^{323210120000400} is an apocalyptic number.

323210120000400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

323210120000400 is an abundant number, since it is smaller than the sum of its proper divisors (827178492335760).

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

323210120000400 is a wasteful number, since it uses less digits than its factorization.

323210120000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29926862990 (or 29926862973 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 323210120000400 its reverse (4000021012323), we get a palindrome (327210141012723).

The spelling of 323210120000400 in words is "three hundred twenty-three trillion, two hundred ten billion, one hundred twenty million, four hundred", and thus it is an aban number.