30223104134400 has 270 divisors, whose sum is σ = 111748588536662. Its totient is φ = 8059494297600.

The previous prime is 30223104134381. The next prime is 30223104134429. The reversal of 30223104134400 is 443140132203.

30223104134400 is a `hidden beast` number, since 3 + 0 + 2 + 2 + 310 + 4 + 1 + 344 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 514674238464 + 29708429895936 = 717408^2 + 5450544^2 .

It is a tau number, because it is divible by the number of its divisors (270).

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

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 28631971 + ... + 29668770.

Almost surely, 2^{30223104134400} is an apocalyptic number.

30223104134400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30223104134400 is an abundant number, since it is smaller than the sum of its proper divisors (81525484402262).

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

30223104134400 is an equidigital number, since it uses as much as digits as its factorization.

30223104134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58300779 (or 58300751 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 30223104134400 its reverse (443140132203), we get a palindrome (30666244266603).

The spelling of 30223104134400 in words is "thirty trillion, two hundred twenty-three billion, one hundred four million, one hundred thirty-four thousand, four hundred".