30224113440 has 96 divisors (see below), whose sum is σ = 95369037120. Its totient is φ = 8045958144.

The previous prime is 30224113427. The next prime is 30224113453. The reversal of 30224113440 is 4431142203.

It is an interprime number because it is at equal distance from previous prime (30224113427) and next prime (30224113453).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30224113440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228126 + ... + 335394.

It is an arithmetic number, because the mean of its divisors is an integer number (993427470).

Almost surely, 2^30224113440 is an apocalyptic number.

30224113440 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 30224113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47684518560).

30224113440 is an abundant number, since it is smaller than the sum of its proper divisors (65144923680).

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

30224113440 is a wasteful number, since it uses less digits than its factorization.

30224113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107874 (or 107866 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 30224113440 its reverse (4431142203), we get a palindrome (34655255643).

The spelling of 30224113440 in words is "thirty billion, two hundred twenty-four million, one hundred thirteen thousand, four hundred forty".