30224224342400 has 192 divisors, whose sum is σ = 85737738772800. Its totient is φ = 10412172748800.

The previous prime is 30224224342357. The next prime is 30224224342463. The reversal of 30224224342400 is 424342242203.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21927062 + ... + 23264661.

It is an arithmetic number, because the mean of its divisors is an integer number (446550722775).

Almost surely, 2^{30224224342400} is an apocalyptic number.

It is an amenable number.

30224224342400 is an abundant number, since it is smaller than the sum of its proper divisors (55513514430400).

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

30224224342400 is a wasteful number, since it uses less digits than its factorization.

30224224342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45191777 (or 45191760 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 30224224342400 its reverse (424342242203), we get a palindrome (30648566584603).

It can be divided in two parts, 302242 and 24342400, that added together give a palindrome (24644642).

The spelling of 30224224342400 in words is "thirty trillion, two hundred twenty-four billion, two hundred twenty-four million, three hundred forty-two thousand, four hundred".